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Research and development with regard to severe
accidents in pressurised water reactors:
Summary and outlook
Rapport IRSN-2007/83
Rapport CEA-2007/351
FOREWORD
This report was produced conjointly by the French Institute for Radiological Protection and Nuclear
Safety (IRSN) and the French Atomic Energy Commission (CEA). The French electric utility EDF also
contributed to Section 8.2.
The following individuals participated in writing or editing all or part of the report:
For the IRSN:
Ahmed Bentaïb, Hervé Bonneville, Cataldo Caroli, Bernard Chaumont, Bernard Clément, Michel Cranga,
Florian Fichot, Joëlle Fleurot, Richard Gonzalez, Vincent Koundy, Bruno Laurent, Jean-Claude Micaelli,
Renaud Meignen, Frédérique Pichereau, Delphine Plassart, Emmanuel Raimond, Anne Tenaud and Jean-
Pierre Van-Dorsselaere.
For the CEA:
Gérard Ducros, Michel Durin, Christophe Journeau, Daniel Magallon, Jean-marie Seiler, Etienne Studer
and Bruno Tourniaire.
For EDF:
William Ranval and EDF's Severe Accident Teams.
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CONTENTS
CHAPTER 1 : INTRODUCTION .................................................................... 6
1.1 SEVERE ACCIDENTS — DEFINITION AND RESEARCH OBJECTIVES ...................................................... 6
1.2 RESEACH FRAMEWORK................................................................................................ 7
1.3 REPORT OBJECTIVES.................................................................................................. 8
CHAPTER 2 : SCENARIOS .......................................................................10
2.1 ACCIDENT TYPES POTENTIALLY LEADING TO CORE MELTDOWN......................................................10
2.1.1 LEVEL 1 PSA ACCIDENT CLASSES ................................................................................... 10
2.1.2 MELTDOWN FREQUENCY BY CLASS IN EDF’S 900-MWE LEVEL 1 PSA .............................................. 16
2.1.3 ACCIDENT PROGRESSION............................................................................................ 17
2.2 GENERAL PROGRESSION OF SEVERE ACCIDENTS .....................................................................19
2.2.1 PHYSICAL PHENOMENA POSTULATED FOR PWRS .................................................................... 19
2.2.2 DIFFERENCES BETWEEN 900-MWE AND 1300-MWE PWRS WITH REGARD TO SEVERE ACCIDENTS .................. 21
2.2.3 EPR SPECIFICITIES ................................................................................................. 21
2.2.4 SEVERE ACCIDENT MANAGEMENT.................................................................................... 22
CHAPTER 3 : IN-VESSEL ACCIDENT PROGRESSION ...............................................26
3.1 IN-VESSEL CORE DEGRADATION ......................................................................................26
3.1.1 DEFINITION, OVERALL PHENOMENOLOGY ........................................................................... 26
3.1.2 PHYSICAL PHENOMENA ............................................................................................. 26
3.1.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES .................................................. 29
3.1.4 SUMMARY AND OUTLOOK ........................................................................................... 32
3.2 CORIUM BEHAVIOUR IN THE LOWER HEAD ...........................................................................33
3.2.1 DEFINITION, OVERALL PHENOMENOLOGY ........................................................................... 33
3.2.2 PHYSICAL PHENOMENA ............................................................................................. 33
3.2.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES .................................................. 37
3.2.4 SUMMARY AND OUTLOOK ........................................................................................... 40
3.3 VESSEL RUPTURE ....................................................................................................41
3.3.1 DEFINITION, OVERALL PHENOMENOLOGY ........................................................................... 41
3.3.2 PHYSICAL PHENOMENA ............................................................................................. 41
3.3.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES .................................................. 42
3.3.4 SUMMARY AND OUTLOOK ........................................................................................... 46
3.4 HIGH-PRESSURE CORE MELTDOWN...................................................................................47
3.4.1 DEFINITION, OVERALL PHENOMENOLOGY ........................................................................... 47
3.4.2 PHYSICAL PHENOMENA ............................................................................................. 48
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3.4.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES .................................................. 48
3.4.4 SUMMARY AND OUTLOOK ........................................................................................... 54
CHAPTER 4 : PHENOMENA LIABLE TO INDUCE EARLY CONTAINMENT FAILURE ...................63
4.1 DIRECT CONTAINMENT HEATING .....................................................................................63
4.1.1 DEFINITION, OVERALL PHENOMENOLOGY ........................................................................... 63
4.1.2 PHYSICAL PHENOMENA ............................................................................................. 63
4.1.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES .................................................. 65
4.1.4 SUMMARY AND OUTLOOK ........................................................................................... 70
4.2 HYDROGEN RISK AND MITIGATION STRATEGIES ......................................................................72
4.2.1 HYDROGEN RISK — BACKGROUND................................................................................... 72
4.2.2 OVERALL PHENOMENOLOGY AND PROBLEM AREAS................................................................... 72
4.2.3 EXPERIMENTAL PROGRAMMES....................................................................................... 74
4.2.4 MODELLING AND SIMULATION CODES................................................................................ 79
4.2.5 SUMMARY AND OUTLOOK ........................................................................................... 80
4.3 STEAM EXPLOSIONS..................................................................................................82
4.3.1 DEFINITION, OVERALL PHENOMENOLOGY ........................................................................... 82
4.3.2 PHYSICAL PHENOMENA ............................................................................................. 83
4.3.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES .................................................. 87
4.3.4 SUMMARY AND OUTLOOK ........................................................................................... 91
CHAPTER 5 : PHENOMENA THAT COULD LEAD TO A LATE CONTAINMENT FAILURE ...............98
5.1 MOLTEN CORIUM-CONCRETE INTERACTION (MCCI) .................................................................98
5.1.1 BACKGROUND TO MCCI AND THE OBJECTIVES OF THE R&D PROGRAMME ........................................... 98
5.1.2 PHENOMENOLOGY OF MCCI AND THE RESULTING PROBLEMS ........................................................ 98
5.1.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES .................................................100
5.1.4 SUMMURY AND OUTLOOK ..........................................................................................106
CHAPTER 6 : IN-VESSEL AND EX-VESSEL RETENTION AND COOLING OF CORIUM................ 111
6.1 IN-VESSEL RETENTION ............................................................................................. 111
6.1.1 DEFINITION, PHENOMENOLOGY AND SAFETY CHALLENGES..........................................................111
6.1.2 IN-VESSEL RETENTION BY FLODING THE PRIMARY CIRCUIT ..........................................................112
6.1.3 IN-VESSEL RETENTION BY FLOODING THE RACTOR PIT ..............................................................115
6.2 COOLING OF THE CORIUM UNDER WATER DURING THE MOLTEN CORIUM-CONCRETE INTERACTION ................ 124
6.2.1 DEFINITION AND OVERALL PHENOMENOLOGY.......................................................................124
6.2.2 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES .................................................124
6.2.3 SUMMARY AND OUTLOOK ..........................................................................................128
6.3 CORIUM SPREADING (EPR) ........................................................................................ 129
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6.3.1 DEFINITION AND OVERALL PHENOMENOLOGY.......................................................................129
6.3.2 PHYSICAL PHENOMENA INVOLVED ..................................................................................129
6.3.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES .................................................130
6.3.4 SUMMARY AND OUTLOOK ..........................................................................................134
6.4 EX-VESSEL CORE CATCHER ........................................................................................ 135
6.4.1 TYPES OF EX-VESSEL CORE CATCHER ..............................................................................135
6.4.2 PHYSICAL PHENOMENA INVOLVED ..................................................................................137
6.4.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES .................................................139
6.4.4 SUMMARY AND OUTLOOK ..........................................................................................144
CHAPTER 7 : RELEASE AND TRANSPORT OF FISSION PRODUCTS ............................... 152
7.1 IN-VESSEL RELEASE OF FISSION PRODUCTS ........................................................................ 152
7.1.1 DEFINITION AND OVERALL PHENOMENOLOGY.......................................................................152
7.1.2 PHYSICAL PHENOMENA INVOLVED ..................................................................................154
7.1.3 EXPERIMENTAL PROGRAMES, MODELLING AND COMPUTER CODES...................................................157
7.1.4 SUMMARY AND OUTLOOK ..........................................................................................161
7.2 TRANSPORT OF FISSION PRODUCTS IN THE PRIMARY AND SECONDARY CIRCUITS................................... 163
7.2.1 DEFINITION AND OVERALL PHENOMENOLOGY.......................................................................163
7.2.2 PHYSICAL PHENOMENA INVOLVED ..................................................................................163
7.2.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES .................................................166
7.2.4 SUMMARY AND OUTLOOK ..........................................................................................167
7.3 EX-VESSEL RELEASE OF FISSION PRODUCTS........................................................................ 169
7.3.1 DEFINITION AND OVERALL PHENOMENOLOGY.............................................................169
7.3.2 PHYSICAL PHENOMENA INVOLVED ..........................................................................169
7.3.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES..................................................170
7.3.4 SUMMARY AND OUTLOOK ..........................................................................................170
7.4 BEHAVIOUR OF THE AEROSOLS WITHIN THE CONTAINMENT BUILDING ............................................. 171
7.4.1 DEFINITION AND OVERALL PHENOMENOLOGY.......................................................................171
7.4.2 PHYSICAL PHENOMENA INVOLVED ..................................................................................171
7.4.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES .................................................172
7.4.4 SUMMARY AND OUTLOOK ..........................................................................................173
7.5 THE CHEMISTRY OF FISSION PRODUCTS............................................................................ 174
7.5.1 DEFINITION AND OVERALL PHENOMENOLOGY.......................................................................174
7.5.2 PHYSICAL PHENOMENA INVOLVED ..................................................................................174
7.5.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES .................................................181
7.5.4 SUMMARY AND OUTLOOK ..........................................................................................183
CHAPTER 8 : SEVERE ACCIDENT CODES – CURRENT DEVELOPMENT AND VALIDATION STATUS .. 190
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8.1 ASTEC ............................................................................................................ 190
8.1.1 CURRENT CAPABILITIES OF THE CODE..............................................................................191
8.1.2 VALIDATION STATUS...............................................................................................193
8.1.3 CODE UPGRADE PROSPECTS .......................................................................................196
8.2 MAAP ............................................................................................................. 197
8.2.1 CURRENT CAPABILITIES OF THE CODE..............................................................................197
8.2.2 VALIDATION STATUS...............................................................................................199
8.2.3 CODE UPGRADE PROSPECTS .......................................................................................200
8.3 MELCOR.......................................................................................................... 201
8.3.1 CURRENT CAPABILITIES OF THE CODE..............................................................................201
8.3.2 VALIDATION STATUS...............................................................................................202
8.3.3 CODE UPGRADE PROSPECTS .......................................................................................204
CHAPTER 9 : CONCLUSION ................................................................... 208
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CHAPTER 1 : INTRODUCTION
1.1 SEVERE ACCIDENTS — DEFINITION AND RESEARCH OBJECTIVES
In this report, the term “severe accident” refers to an event causing significant damage to reactor fuel
and resulting from more or less complete core meltdown. Such accidents are highly unlikely in light of
the preventive measures implemented by operators. However, they are the focus of considerable
research because the release of radioactive products into the environment would have serious
consequences. This research also reflects a commitment to the defence-in-depth approach.
Severe accidents are generally caused by a cooling failure within the core, which prevents proper
evacuation of residual power. Within a matter of hours, fuel element structure is damaged as the
result of multiple dysfunctions, arising from equipment and/or human error, including the failure of
safety procedures. A series of complex phenomena then occur, according to various scenarios and
depending on the initial conditions of the accident and operator actions. These scenarios might
ultimately lead to a loss of containment integrity and to the risk of large radioactive releases outside
the containment building.
For the purposes of this document, “early releases” are those liable to occur before all the measures
aimed at protecting the general public can be implemented.
The physical phenomena involved in severe accidents are extremely complex; they generally demand
the development of specific research.
The research in this area thus aims to further understanding of these physical phenomena and reduce
the uncertainties surrounding their quantification, with the ultimate goal of developing models that
can be applied to reactors. These models, grouped together in computer codes, should allow predicting
severe accident progression.
In this field, there is no way to conduct experiments on a real-world scale and reproduce all the
possible situations. That is why elementary tests must be used, allowing each physical phenomenon to
be studied separately, followed by global tests confirming the interactions between phenomena. All
testing must be done on a scale within the technical and financial capacities of the facilities used,
while remaining sufficiently representative to allow extrapolation to the reactor scale.
This research addresses reactors currently in operation as well as future reactors. The underlying
phenomena are the same for existing pressurised-water reactors and those in the planning phases.
However, for existing plants, severe accidents were not a design consideration. Consequently,
modifications to these facilities are limited and the research in this area is primarily aimed at limiting
the potential impact of severe accidents. Specifically, there are two complementary research
orientations: 1) characterising releases and studying modes of containment failure, and 2) developing
methods to deal with the consequences.
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For the future EPR (European Pressurised-water Reactor), the French Nuclear Safety Authority has set
the objective of significantly reducing the risk of radioactive releases for all conceivable accident
situations, including core meltdown accidents. Specific design measures must be implemented in order
to practically eliminate accidents with the potential for large early releases, and to reduce the impact
of accidents involving low-pressure core meltdown. Research conducted within this framework should
allow these objectives to be reached.
1.2 RESEACH FRAMEWORK
Most countries with well-developed nuclear power sectors, such as the United States, Japan, Germany,
Belgium, Canada, South Korea, Switzerland, Sweden and Russia, also have severe accident research
programmes. In general, each country has focused on one or more particular aspects of the issue; the
field is too vast to allow investigation of all phenomena by any one national programme.
In France, the first major research programmes addressing severe accidents were initiated in the early
1980s, following the accident at the Three Mile Island Unit 2 reactor in 1979. Due to the size of its
nuclear fleet, France undertook to develop its own programmes in nearly all areas related to severe
accidents. Safety research in France is primarily conducted by the IRSN, the CEA, EDF and AREVA. All
these entities develop or help develop simulation codes, and the IRSN, the CEA and AREVA (in
Germany) all have testing facilities. Certain actions are also outsourced to research centres or
component manufacturers.
Research in the area of severe accidents involves very substantial human and financial resources as
well as collaboration between nuclear stakeholders, industry groups, research centres and safety
authorities, at both the national and international levels. In France, the IRSN, the CEA, EDF and AREVA
have initiated joint programmes on numerous subjects (involving bipartite, tripartite or even
quadripartite agreements) and participate in international programmes, especially those initiatives
supported by the European Commission through its Framework Programmes for Research and
Development (FPRD), or those conducted under the auspices of the OECD (Organisation for Economic
Co-operation and Development).
As part of the Sixth Framework Programme, a Network of Excellence called SARNET (Severe Accident
Research Network of Excellence) and coordinated by the IRSN, was set up to optimise the use of
resources in the area of severe accident research. SARNET brings together 49 participants from 19
different countries, either members of the European Union or new candidates for membership, as well
as Switzerland. It aims to improve scientific knowledge, to define and oversee research programmes,
to ensure the sustainability of outcomes and to disseminate information. Two of its “integration”
activities are the ASTEC code (see Chapter 8) and methodologies for Level 2 Probabilistic Safety
Assessments (PSA-2).
Many international collaborations have also been set up in the framework of the OECD. Through the
Committee on the Safety of Nuclear Installations (CSNI), the OECD coordinates the launch and oversight
of research programmes with the goal of building consensus on scientific and technical questions of
general interest. Subjects are most often selected based on the general recommendations of expert
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reports on issues which have yet to be fully resolved, and on programmes or facilities which will
involve international collaboration. In particular, the report [1.2_1] can be cited in reference; it is
currently being updated. Since the OECD lacks its own budget for this type of action, it relies on
contributions from participants. In the area of simulation tools, the CSNI facilitates the creation of
expert workgroups to establish validation matrices. It also oversees ISP (International Standard
Problems [1.2_2]) which compare experimental results for a given problem with the outcomes of
various teams using various computer codes. Finally, State-of-the-Art Reports are produced on subjects
of general interest (e.g. hydrogen distribution, hydrogen combustion, aerosol behaviour). These SOARs
provide a complete vision of a given problem by reviewing current knowledge and the remaining
uncertainties, and by presenting recommended orientations.
1.3 REPORT OBJECTIVES
This document reviews the current state of research on severe accidents in France and other countries.
It aims to provide an objective vision, and one that's as exhaustive as possible, for this innovative field
of research. It will help in identifying R&D requirements and categorising them hierarchically.
Obviously, the resulting prioritisation must be completed by a rigorous examination of needs in terms
of safety analyses for various risks and physical phenomena, especially in relation to Level 2
Probabilistic Safety Assessments. PSA-2 should be sufficiently advanced so as not to obscure physical
phenomena that, if not properly understood, might result in substantial uncertainty. It should be noted
that neither the safety analyses nor PSA-2 are presented in this document.
This report describes the physical phenomena liable to occur during a severe accident, in the reactor
vessel and the containment. It presents accident sequences and methods for limiting impact. The
corresponding scenarios are detailed in Chapter 2. Chapter 3 deals with in-vessel accident progression,
examining core degradation (3.1), corium behaviour in the lower head (3.2), vessel rupture (3.3) and
high-pressure core meltdown (3.4). Chapter 4 focuses on phenomena liable to induce early
containment failure, namely direct containment heating (4.1), hydrogen risk (4.2) and steam
explosions (4.3). The phenomenon that could lead to a late containment failure, namely molten core-
concrete interaction, is discussed in Chapter 5. Chapter 6 focuses on problems related to in-vessel and
ex-vessel corium retention and cooling, namely in-vessel retention by flooding the primary circuit or
the reactor pit (6.1), cooling of the corium under water during the corium-concrete interaction (6.2),
corium spreading (6.3) and ex-vessel core catchers (6.4). Chapter 7 relates to the release and transport
of fission products (FP), addressing the themes of in-vessel FP release (7.1) and ex-vessel FP release
(7.3), FP transport in the primary and the secondary circuit (7.2), aerosol behaviour in the containment
(7.4) and FP chemistry (7.5). Finally, Chapter 8 presents a review of development and validation
efforts for the main severe accident codes: ASTEC, MAAP and MELCOR.
In Chapters 3—7, for each of the theme areas, the phenomena involved are reviewed. The major
relevant experiments are then briefly described, including recent, ongoing and future projects. The
key models and specific codes (except for integral codes) used to simulate the phenomena in question
are also discussed. Finally, the state of current knowledge is reviewed and an outlook for the future is
presented, especially regarding experimental programmes and the development of modelling tools.
- 9 -
CHAPTER 1 REFERENCES
[1.2_1] Nuclear Safety Research in OECD Countries, Major Facilities and Programmes at Risk NEA/2001
[1.2_2] CSNI International Standard Problems, Brief description (1975-1999) NEA/CSNI/R(2000)5
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CHAPTER 2 : SCENARIOS
This chapter provides an introduction to accident scenarios involving reactor core meltdown in a PWR.
The first section describes the main classes of Level 1 PSA accidents, initiated by internal events and
liable to provoke substantial loss of coolant and core meltdown as a result. Accident scenarios resulting
from an external event are not described.
The second section provides a general overview of the various physical phenomena liable to occur in a
PWR once core meltdown is initiated. It also describes their consequences in terms of loss of
containment for fission products.
Level 2 PSA conclusions (available only for the 900-MWe series) have been purposely excluded from this
chapter: the IRSN esteems that the results and the comparative analyses of studies conducted
independently either by its teams or by EDF have not been sufficiently consolidated. The next update
of the PWR 900 PSA-2 (post-VD3 version) is planned for end-2006 and will either be carried out by EDF
or the IRSN.
2.1 ACCIDENT TYPES POTENTIALLY LEADING TO CORE MELTDOWN
2.1.1 LEVEL 1 PSA ACCIDENT CLASSES
2.1.1.1 Introduction
Level 1 PSAs aim to identify accident sequences leading to partial or total fuel damage. It should be
noted that EDF develops Level 1 PSAs for the 900-MWe, 1300-MWe and N4 series, and for the EPR
system. As for the IRSN, it develops Level 1 PSAs for the 900-MWe and 1300-MWe series. EDF studies
are used as benchmarks in terms of safety analysis; IRSN studies are used as counterstudies to analyse
EDF's results and conclusions.
The rest of this chapter is based on the Level 1 PSAs developed by EDF and the IRSN for the 900-MWe
series, in preparation for the third 10-year inspection of the reactors in this series (references [2.1_1]
and [2.1_2]). Only internal initiators are considered.
The systems involved in normal and accident situations are presented schematically in Figure 2.1-1.
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Figure 2.1-1: Schematic diagram of various reactor systems
2.1.1.2 Loss of coolant accidents (LOCA sequences, divided into Large Breaks,
Intermediate Breaks and Small Breaks)
These accidents are initiated by a break in the reactor coolant system (RCS) or one of the connecting
circuits (except for vessel rupture, or ruptures of one or several steam generator tubes, see Section
2.1.1.5). Such a break would cause loss of RCS coolant and depressurisation of the reactor coolant
system. The Level 1 PSA conducted by EDF distinguishes between several situations depending on the
reactor's initial state, and the break's location and size.
In the event of a LOCA, reactor coolant system depressurisation automatically causes the reactor to
shut down and the safety injection system to actuate. For large breaks, rapidly increasing pressure in
the containment automatically actuates the spray system.
To bring the accident under control, the reactor's protection and safety systems must perform the
following functions:
• Controlling reactivity by automatically shutting the reactor down and injecting borated water.
• Using the safety injection system to maintain the reactor vessel's water inventory, first in the
direct injection phase (using the refuelling water storage tank), then in the recirculation phase
(using the sumps in the containment building).
• Cooling and evacuating residual power, first via the break itself or the steam generators
(depending on the break's size), then via the residual heat removal system (RHR) if it can be
connected to the reactor coolant system; for safety injection involving sump recirculation, energy
- 12 -
is evacuated from the containment by heat exchangers integrated in its spray system, or by RHR for
small RCS breaks.
Accident sequences causing core meltdown are the result of failure in one or more of these safety
systems. For reactors at full power, mitigation sequences exist for the following situations:
• Failure of safety injection or of the containment heat removal system (CHRS) in the direct
injection or recirculation phases.
• Failure of the control and monitoring system preventing the launch of safety injection,
containment heat removal or recirculation (in the absence of corrective action by the operating
team).
When reactors are shut down (RHR circuit connected), postulated accident sequences vary depending
on the initial state of the reactor (RCS closed, partially open or completely open), but in all cases
there is failure to maintain the water inventory due to human error(s) or equipment dysfunction(s).
2.1.1.3 Loss of coolant accidents occurring outside the containment building (V-LOCA
class)
These accidents, due to loss of coolant via a break occurring outside the containment building, but in a
circuit connected to the RCS loop rather than independent of it, are postulated to have two particular
characteristics:
• Since coolant loss occurs outside the containment building, the recirculation phase of safety
injection might prove impossible.
• In the event of a core meltdown, fission products would be released outside the containment
building if there was no way to isolate the break.
A ruptured thermal barrier in one of the RCS pumps, for example, might lead to this sort of situation.
2.1.1.4 Accidents involving secondary system line breaks (includes FWLBs and SLBs)
The initiating events considered for this class include:
• A break in steam generator feedwater piping (FWLB).
• A steam line break (SLB) in the secondary system of a generator.
A rupture in steam generator feedwater piping results in drainage of the generator's secondary system,
accelerated RCS cooling, automatic reactor shutdown and initiation of safety injection.
Operating personnel must isolate the defective steam generator to prevent the drainage of the other
steam generators and maintain the secondary system's cooling capacity.
A steam line rupture sharply increases flowrate to the secondary system and thus results in greater
energy extraction from the reactor coolant system, whose pressure and temperature in turn begin to
drop. The available anti-reactivity margin is reduced as a result of this drop in temperature. If the
steam line rupture is substantial, safety injection is rapidly initiated (injection of borated water) and
the generators are automatically isolated through action at the steam lines.
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The following functions must be performed in the event of an SLB or FWLB:
• Reactivity control; initiated by the reactor's automatic shutdown and completed if necessary by
safety injection of borated water.
• Evacuation of residual power; performed by the unaffected steam generators, supplied by the
auxiliary feedwater system.
For an FWLB, the dominant accident sequences leading to core meltdown involve several assemblies
getting stuck outside the core, preventing control of reactivity, or a failure of the feed-and-bleed
function.
Regarding SLBs, two examples of sequences leading to core meltdown are as follows:
• In the event of major SLBs, CHRS failure may cause bypass of the instrumentation qualification
profile required for initiating standby conditions; likewise, if at least two assemblies get stuck
outside the core due to mechanical failure, it may be impossible to control reactivity.
• In the event of minor SLBs, mechanical blockage of an assembly, combined with failure by the
operating personnel to isolate the faulty generator, may also hinder control of reactivity.
2.1.1.5 Accidents involving steam generator tube ruptures (SGTR class, combined SLB-
SGTR incidents)
The initiating event for this class is a major leak or rupture in one or several steam generator tubes
(SGTR class), or a secondary line break (feedwater or steam) leading to the quasi-immediate rupture of
one or several steam generator tubes (combined SLB-SGTR).
Rupture or leaking in steam generator tube(s) causes a drop in pressure in the reactor coolant system,
leading to automatic reactor shutdown, followed by actuation of the safety injection and auxiliary
feedwater systems.
Operating personnel must then identify and isolate the defective steam generator, shut down safety
injection and cool the RCS via the unaffected steam generators, in order to establish the operating
conditions for the residual heat removal system. If there is a delay in shutting down safety injection or
isolating the defective steam generator, this generator fills with water and secondary system discharge
components are in turn solicited, which may cause them to become stuck in open position, leading to
containment bypass. In this situation, the reactor coolant system must be depressurised to counteract
the loss of RCS coolant.
Accident sequences postulated for a SGTR (one or two tubes) primarily involve complete loss of coolant
by the secondary system and failure of the feed-and-bleed function.
2.1.1.6 Accidents involving complete loss of cooling source or associated systems (H1
class)
Initiating events for this class of accidents are loss of the terminal cooling source or of the cooling
systems allowing evacuation of energy towards this source.
- 14 -
Failure of intermediary cooling systems results in:
• RCS pump shutdown
• Suspended cooling of RCS pump thermal barriers, potentially resulting in an RCS break should
injection fail at the RCS pump seals
• Loss of cooling capacity for CVCS discharge water
• Loss of cooling capacity in certain ventilation systems, potentially resulting in equipment loss
• Loss of cooling capacity in the exchangers of the containment heat removal system and,
consequently, loss of energy evacuation if safety injection involves recirculation
Operator intervention in this situation aims to bring the reactor to standby conditions (45 bar) so that
injection at the RCS pump seals can be suspended without risk. RCS pumps are shut down and RCS
cooling is performed by the secondary system via natural circulation on the RCS side.
The accident sequences postulated for a reactor at full power are primarily related to failure of the
emergency feedwater system (EFWS) to supply the steam generators, followed by deficient feed and
bleed, or failure to maintain water in the reactor coolant system in the event of an RCS pump seal
break.
During reactor outages, the postulated sequences depend on the reactor's initial state: dysfunction in
the EFWS or failure to maintain the RCS water inventory, if the reactor is closed or partially open;
water supply dysfunction or U5 decompression and filtration system not used to cool the containment,
if the reactor coolant system is initially open.
2.1.1.7 Accidents involving a complete loss of feedwater to steam generators (H2 or
TGTA class)
Initiating events for this accident class involve equipment failure resulting in the combined loss of main
and auxiliary feedwater systems for the steam generators.
If no mitigating action is taken by operating personnel, the steam generators drain rapidly on the
secondary side and become inefficient. The reactor coolant system also overheats and its pressure rises
until reaching the set pressure of the SEBIM valves within the pressuriser. The reactor coolant system is
then emptied, via the SEBIM valves. Its pressure remains elevated until core uncovering is complete.
Core meltdown may occur with the reactor coolant system at pressure, constituting a short-term
containment hazard (ejection of corium into the containment during vessel rupture and subsequent
DCH, risk of steam generator tube rupture).
In this situation, operating personnel must:
• Open the pressuriser safety valves, then initiate safety injection (feed-and-bleed function).
• Ultimately, restore feedwater to the steam generators so as to establish the operating conditions
for the residual heat removal system.
- 15 -
The dominant accident sequences for this situation lead to core meltdown and result primarily from
failure of the feed-and-bleed function, either in the short term (operator error, safety injection fails to
initiate) or over the long term (operational failure of safety injection, CHRS fails to cool containment
building).
2.1.1.8 Accidents involving a complete loss of electrical power (H3 class)
These accidents are initiated by the quasi-simultaneous loss of the two 6.6 kV emergency switchboards
LHA and LHB, or the loss of external then internal power due to a succession of events damaging
electrical power sources, which in turn cuts off all electrical power to the reactor's safety systems.
In this situation, if the reactor coolant system is initially closed, operating personnel must initiate a
standby mode in which injection at the RCS pump seals is no longer necessary. This is accomplished
using the LLS alternator turbine, the test pump (injection at RCS pump joints), the TDAFWP (turbine-
driven auxiliary feedwater pump) and the MSRT dump valves. These conditions involve an RCS
temperature of 190 °C and 45 bar of pressure.
If the reactor coolant system is initially partway open, operating personnel must establish an
intermediary mode characterised by a temperature of 190°C, in which the test pump compensates for
water loss via the reactor coolant system vents.
If the reactor coolant system is initially open, a gravity-based backup system must be implemented as
a short-term measure, completed in the medium-term by water injection via the adjacent unit's
charging pump.
In any event, the standby generator sets (SGS) must be connected very rapidly.
Postulated accident sequences include situations resulting from:
• Failure of the turbine-driven auxiliary feedwater pump, or of injection at the joints (resulting in a
break due to lack of thermal barrier cooling), if the reactor is initially closed.
• Failure of emergency water supply to the reactor coolant system, if the RCS is open.
2.1.1.9 Loss of internal electrical power
This class includes accident sequences caused by a power outage at a low-voltage switchboard. The
events considered include failures of an LB. or LC. switchboard, or failure of the LDA switchboard.
The impact on the plant has been assessed for each type of electrical power outage. Depending on the
type of outage, the following may occur: partial unavailability of the steam generator feedwater
function and of the maintenance of RCS pump seal integrity (thermal barrier cooling, injection at the
seals).
Core meltdown is generally caused by H2 sequences (complete loss of feedwater to steam generators
and failure of the feed-and-bleed function) and H1 sequences (break at RCS pump seals and failure to
maintain water inventory).
The dominant sequences are the H2 type, caused by loss of the LCA switchboard.
- 16 -
2.1.1.10 Transients involving automatic shutdown failure (ATWS class)
This class of accidents encompasses various situations involving failure of automatic reactor shutdown
following an initiating event within the facility. All the initiators described above may in fact lead to
an ATWS accident.
These situations result in a loss of normal feedwater to steam generators, and the auxiliary feedwater
system may not be sufficient to evacuate the nuclear power still present in the core.
Three consequences are postulated:
• Loss of reactor coolant system integrity due to pressure in excess of the design limits.
• Core damage (especially if secondary system cooling of the steam generators and feed-and-bleed
initiation both fail).
• Steam generator tube rupture due to the large pressure difference between the reactor coolant
system and the secondary system.
2.1.1.11 Reactor coolant system transients
This accident class encompass various situations, such as CVCS failures, untimely dilution incidents,
RCS pressure incidents, assemblies falling or being inserted in an untimely manner and uncontrolled
withdrawal of assemblies.
With the exception of dilution incidents and, to a lesser degree, untimely safety injections, these
accidents do not have significant consequences, unless the situation deteriorates (pressuriser safety
valve stuck in open position, ATWS).
For dilutions, a distinction is made between homogenous dilutions (progressive untimely dilution) and
heterogeneous dilutions (insufficiently borated water slug sent into the core). According to Level 1
PSAs (for EDF or the IRSN), homogeneous dilutions resulting in core damage are relatively infrequent
compared to heterogeneous dilutions. Based on the studies of heterogeneous dilution conducted to
date, it is not yet possible to evaluate containment leaktightness risks. Therefore, in Level 2 PSAs for
EDF and the IRSN, a simplified hypothesis of short-term containment loss has been adopted.
Consequently, heterogeneous dilutions contribute substantially to the risk of massive early release in
these PSA-2.
2.1.2 MELTDOWN FREQUENCY BY CLASS IN EDF’S 900-MWE LEVEL 1 PSA
According to the level 1 probabilistic study conducted prior to the third 10-year visits to 900-MWe
reactors [2.1_1], core meltdown frequency is estimated by EDF at around 5*10-6 per year and per
reactor, for all initial reactor states. Frequency for the various accident classes is provided in Table
2.1-1. The conclusions of the IRSN's analysis of this study are not reported here but figure in the report
GP n°DSR-50 cited in reference [2.1_2].
- 17 -
Table 2.1-1: Distribution of core meltdown frequency by accident class, according to the results of the PSA-1 conducted by EDF (taken from [2.1-1])
EDF (pre-VD3 update)
Accident class Core meltdown frequency
(/year.reactor)
% of overall core meltdown frequency
H3 (Complete Loss of External Electrical Power)
2.4*10-6 49.0%
Small Break LOCA 9.1*10-7 18.5%
Intermediate Break LOCA 3.3*10-7 6.5%
H2 or Secondary System Transients 3.3*10-7 6.5%
ATWS 2.3*10-7 4.7%
Reactor Coolant System Transients 2.0*10-7 4.0%
Large Break LOCA 1.7*10-7 3.4%
H1 (Loss of Cooling Source) 1.6*10-7 3.3%
SLB 9.0*10-8 1.8%
FWLB 8.3*10-8 1.7%
Loss of Internal Electrical Power 2.2*10-8 0.4%
SGTR 1.7*10-8 0.3%
Combined FWLB-SGTR 5.5*10-9 0.1%
Overall core meltdown frequency 4.9*10-6 100%
2.1.3 ACCIDENT PROGRESSION
The above paragraphs present a wide variety of scenarios liable to produce limited or complete core
damage. However, it should be noted that these scenarios, although initiated by different events, can
lead to similar severe accident progressions.
In fact, certain characteristics of the reactor state when core uncovering occurs are considered
sufficient to determine the subsequent progression of the accident. These characteristics are primarily
used for interfacing between Level 1 and Level 2 PSAs. For example:
• The point at which core meltdown occurs, because it influences residual power within the core
and therefore the kinetics of severe accident progression.
• Pressure in the reactor coolant system during core meltdown: In particular, accident sequences
due to deficient RCS energy evacuation, resulting in core meltdown under high-pressure conditions,
which involve specific risks to containment integrity.
• State of safety systems, especially the availability of the containment heat removal system, which
ensures energy is evacuated out of the containment building and radioactive products in the
containment atmosphere are sprayed down.
• Core sub-criticality
- 18 -
• Status of the containment, especially whether isolation has been successful, containment has
been bypassed or the access hatch has been closed.
Given these similarities in the postulated progression of severe accidents, the various physical
phenomena liable to occur can be investigated by severe accident R&D in a rather general manner.
- 19 -
2.2 GENERAL PROGRESSION OF SEVERE ACCIDENTS
2.2.1 PHYSICAL PHENOMENA POSTULATED FOR PWRs
Figure 2.2-1 schematically presents the major physical phenomena liable to occur during a severe
accident, as well as the safety systems involved.
chimney
sump
venting-filtering
service buildings
reactor building
containment spray
leakagescore degradation
steamexplosion
induced breaks
direct containmentheating
steam generator
vessel
hydrogen combustion
vessel rupture ventilation-filtering
containmentrupture
radioactive release inenvironment
chimney
sump
venting-filtering
service buildings
reactor building
containment spray
leakagescore degradation
steamexplosion
induced breaks
direct containmentheating
steam generator
vessel
hydrogen combustion
vessel rupture ventilation-filtering
containmentrupture
radioactive release inenvironment
Figure 2.2-1: Physical phenomena during a severe accident
If the reactor core remains unwatered for an extended period of time (see Section 3.1 on core
degradation within the reactor vessel), nuclear fuel progressively overheats due to unevacuated
residual power. Steam initiates an exothermic oxidation of zircaloy fuel cladding, resulting in
substantial production of hydrogen and thermal power. Additionally, metal reactions between fuel and
its cladding produce low-melting-point eutectics, resulting in relocation of material in the core. As a
result of overheating, the fuel first releases the most volatile fission products, then the semi-volatile
products (see Section 7.1 on FP release in the reactor vessel).
Progressively, a pool of molten material called corium forms in the core and sinks to the lower head of
the vessel. When it reaches the water remaining there (see Section 3.2 on corium behaviour in the
lower head), a corium-water interaction occurs, resulting in coarse fragmentation of the corium,
which may be followed by a more violent phenomenon called steam explosion (see Section 4.3 on
steam explosion). This explosion may cause lower head failure (see Section 3.3 on vessel rupture), or
part of the core may be transformed into a projectile and break the vessel head. Structural elements
might then be projected towards the containment building, threatening its leaktightness.
During core degradation, standby supplies of water can be delivered to the reactor coolant system or
the secondary system via “lineups” between the various circuits. Reflooding a degraded core (see
- 20 -
Section 6.1.2 on RCS reflooding to enable in-vessel retention) is a complex phenomenon which may
enable the accident's progression to be halted under certain conditions. In contrast, reflooding may
also increase hydrogen production and cause further release of fission products.
During core degradation, in the absence of secondary system cooling, there is substantial overheating
of the inner surfaces of the reactor coolant system and the steam generator tubes. If overheating is
coupled with elevated pressure in the reactor coolant system, the latter may rupture in a so-called
“induced break” (see Section 3.4 on high-pressure core meltdown). This break depressurises the
reactor coolant system, but steam generator tubes are involved and RCS valves are open, containment
bypass occurs.
Hydrogen produced by core degradation is released into the containment, where it burns on contact
with oxygen, provoking a pressure and temperature spike which may damage the containment building
(see Section 4.2 on hydrogen risk and mitigation strategies). This combustion can either be slow-
acting (slow deflagration) or more rapid and, in some cases, explosive (rapid deflagration, detonation).
Hydrogen combustion and ensuing containment loss during a reactor core meltdown accident
constitutes a risk, and commitment to making this risk residual has been demonstrated by the
progressive implementation of catalytic hydrogen recombiners in all units of the operational fleet.
Corium melts accumulate in the lower head and eventually cause its rupture, either by thermal
erosion, creep or plastic fracture, depending on pressure conditions in the reactor coolant system.
During vessel rupture, and especially under high-pressure conditions, some of the corium is released
into the containment and may provoke a pressure spike, resulting in substantial heat exchange
between the air and the corium, oxidation of the corium's metallic components and, in some cases,
simultaneous combustion of the hydrogen present in the containment building. This phenomenon is
called “direct containment heating” (see Section 4.1).
Following vessel rupture, corium accumulates in the reactor pit and causes progressive thermal erosion
of the concrete basemat, potentially penetrating it, a situation that would cause loss of containment
(see Section 5.1 on molten corium-concrete interaction). During this phase, a substantial quantity of
incondensable gas is liberated, resulting in a progressive increase in pressure within the containment
building. To avoid a potential break in this structure, a ventilation-filtration system (U5) has been
installed in pressurised-water reactors and can be activated 24 hours after an accident begins, in the
event the containment heat removal system fails.
During a severe accident, leaks may occur via penetrations in the containment building as a result of
pre-existing leaks or those generated during containment isolation. These leaks may also occur in the
sump recirculation circuits, especially in the spray system. Material may be leaked into auxiliary
buildings and picked up by ventilation circuits, which are fitted with various types of filtration devices.
For all modes of containment rupture, the release of fission products into the environment depends on
the conditions affecting their transfer within the facility. Transfer of fission products depends primarily
on their physical and chemical properties — i.e. whether they are gases or aerosols and their chemical
form. Iodine behaviour requires particular attention, given its complexity and the significant short-
- 21 -
term radiological impact (see Chapter 7 on release and transport of fission products). Regarding
longer-term accident consequences, particular attention must be paid to caesium releases.
2.2.2 DIFFERENCES BETWEEN 900-MWE AND 1300-MWE PWRs WITH REGARD TO SEVERE
ACCIDENTS
There are major design similarities between 900 PWRs and 1300 PWRs, but certain differences exist
which may shape severe accident research and its impact. A few examples will be discussed below,
including the differences in containment design and the design of control rods in the reactor core.
In the 900-MWe series, the containment building includes a steel liner which, if no defects are present,
reinforces leaktightness. For the 1300-MWe series, the containment's mechanical strength under severe
accident load conditions is evaluated in different terms because there is no internal liner, but rather a
dual concrete containment equipped with an annulus ventilation system which, in the event of an
accident, serves to:
• Establish and maintain sufficiently low pressure levels between the internal and external
containments so as to force leaks from inside and outside the reactor building towards the annulus.
• Avoid direct transfer of contaminated air outside the reactor building.
• Ensure purification (iodine filtration and trapping) of contaminated air leaking in from the internal
containment before release through the stacks.
Therefore, the containment annulus ventilation system plays a critical role in protecting the public by
helping limit radioactive releases into the environment.
In 1300-MWe PWRs, Ag-In-Cd and B4C can be found in the control rods within the core; in 900-MWe
PWRs, only Ag-In-Cd is found.
The silver in the 900-MWe PWR control rods combines with iodine to form an insoluble compound in the
containment sumps. The presence of Ag-In-Cd in large quantities in 900-MWe units serves to trap
iodine.
2.2.3 EPR SPECIFICITIES
The provisions adopted for the EPR project aim to significantly enhance accident prevention. For EPRs,
this question is addressed from the design phase. To this end, the technical directives specify that core
meltdown accidents (particularly under pressurised conditions) postulated to cause large early releases
must be “practically eliminated”; while such accidents remain physically possible, design measures
must be implemented to prevent them. The technical directives also indicate that low-pressure core
meltdown sequences must be executed in such a way that the maximum conceivable releases only
require measures very limited in duration and scope to protect the public.
Regarding core meltdown accidents, the following points can be made:
• The commitment to “practically eliminating” all accidents involving pressurised reactor core
meltdown has led designers to integrate a dedicated pressurisation valve, coupled with an isolation
- 22 -
valve, for the reactor coolant system under core meltdown conditions, in addition to the standard
safety mechanisms protecting this system from overpressure.
• Concerning low-pressure core meltdown accidents, the EPR project involves the implementation of
a system for collecting molten fuel, built into the containment building and linked to the reactor
pit (see Sections 6.3 and 6.4 on corium spreading (EPR) and ex-vessel catchers).
2.2.4 SEVERE ACCIDENT MANAGEMENT
In the event of a severe accident, operating personnel would be called upon to abandon accident
procedures in order to follow the recommendations in the Severe Accident Management Guide (SAMG
[2.2_1]) and apply the “Containment” and “Standby Measures” sections of the Guide to Emergency
Response Team Action (GAEC). The GAEC is not specific to severe accidents; it is used both by
operating teams and by local and national emergency teams.
The GAEC provides information on the emergency measures that might be implemented in an accident
situation, regarding water injection into the reactor coolant system and the secondary system, as well
as identification and isolation of leaks in the containment building.
It details all the procedures operating personnel must follow in the event of a severe accident. The
guide distinguishes between:
• Actions requiring no prior assessment by emergency teams, referred to as immediate actions.
• Actions requiring prior assessment by emergency teams, referred to as delayed actions.
Actions recommended in the SAMG serve primarily to maintain containment, aiming to:
• Avoid or minimise airborne releases outside the containment building.
• Provide sufficient time before potential containment loss to allow implementation of the public
protection measures described in emergency plans (PUI and PPI in France).
- 23 -
CHAPTER 2 TABLES
Table 2.1-1: Distribution of core meltdown frequency by accident class, according to the results of the
PSA-1 conducted by EDF (taken from [2.1-1]) ...................................................................... 17
- 24 -
CHAPTER 2 FIGURES
Figure 2.1-1: Schematic diagram of various reactor systems.................................................... 11
Figure 2.2-1: Physical phenomena during a severe accident .................................................... 19
- 25 -
CHAPTER 2 REFERENCES
[2.1_1] Note de synthèse concernant l’Etude Probabiliste de Sûreté de niveau 1 du palier 900 MWe Note EDF CIPNE-EMESM040011 – 24 February 2004 – Non-public reference
[2.1_2] Utilisation des études probabilistes de sûreté dans le cadre du réexamen de sûreté VD3 900 MWe Tome 1 – Synthèse / Démarche d’utilisation des Etudes probabilistes de sûreté Tome 2 – Etude probabiliste de sûreté de niveau 1 Tome 3 – Etude probabiliste de sûreté de niveau 2 Rapport IRSN/DSR n°50 – January 2005 – Non-public reference
[2.2_1] Guide d’Intervention en Accident Grave (GIAG) – Version 4 – CPY. Note EDF BE/DPN n°D4510 LT BEM ONC 05 0068 du 25 April 2005 – Non-public reference
- 26 -
CHAPTER 3 : IN-VESSEL ACCIDENT PROGRESSION
3.1 IN-VESSEL CORE DEGRADATION
3.1.1 DEFINITION, OVERALL PHENOMENOLOGY
If the core remains uncovered for a considerable length of time, there is an increase in local fuel rod
temperature, which may eventually lead to significant and irreversible core degradation. The
mechanisms producing such degradation may be chemical or mechanical. Depending on the
temperature attained locally, the consequences may be more or less severe: hydrogen production,
fission product release, formation of molten corium and propagation towards the lower head. These
phenomena have been studied as part of several national and international programmes [3.1_1],
[3.1_2], [3.1_8], [3.1_9], [3.1_11], [3.1_12], [3.1_15]. The main degradation mechanisms and their
consequences are described below.
3.1.2 PHYSICAL PHENOMENA
3.1.2.1 Cladding oxidation and hydrogen formation
At temperatures above 1300 K, the zircaloy (Zr) in the fuel cladding is oxidised by steam. This
exothermal reaction is very important because the amount of energy released is comparable to that of
residual power.
22mol/kcal132H
2 H2ZrOOH2Zr + →+ ≈∆
This oxidation produces a zirconia (ZrO2) layer on the external surface of the cladding. The mass of
oxygen absorbed by the cladding and the thickness of the oxide formed are governed by a parabolic
time law. The reaction rate varies exponentially with temperature (Arrhenius rate law). Several
experimental and theoretical studies have examined thoroughly this phenomenon, which is now well
understood. The hydrogen produced may escape from the reactor coolant system (via a break) and mix
with containment air, which may lead to explosion and a direct threat to containment integrity. The
capacity to evaluate hydrogen production (instantaneous and cumulative) is a key issue in safety
studies.
3.1.2.2 Molten metals and their interactions with intact rods
Control rods undergo degradation at lower temperatures than fuel rods, either via melting (Ag-In-Cd)
or oxidation/liquefaction (B4C). Control rod materials (including steel) then relocate towards lower
parts of the core, effectively weakening some of the still-intact fuel rods as a result of chemical
interactions. It should be noted that spacer grids containing Inconel may also prematurely interact with
cladding. The key dissolution reactions include Ag-Zr and Fe-Zr interactions, both of which form
eutectics with a melting point below that of zircaloy. Experimental studies have been conducted on
- 27 -
these interactions and knowledge levels as well as modelling are satisfactory, especially with regard to
Ag-In-Cd. There are still uncertainties, however, as to the influence of B4C on fuel rod degradation.
3.1.2.3 Cladding rupture
Rising temperature and fission gas formation within the pellets increase pressure inside the fuel rods.
Depending on the accident scenario, internal rod pressure can surpass RCS pressure. This overpressure
within the fuel causes the cladding to swell as a result of creep. This phenomenon, called ballooning,
may lead to cladding rupture. Larger deformations, known as flowering, have also been observed. They
are caused by the increased volume of oxide, which puts additional strain on cladding. There are
sufficient experimental data on these phenomena, and modelling is satisfactory. In contrast, the
mechanisms of cladding rupture above the melting point of zircaloy are much less understood.
According to current assumptions, the zirconia scale breaks above a certain temperature (typically
2300—2500 K). Another type of rupture occurs if ZrO2 thickness is below a critical value (around 300
µm). This remains a very approximate model, however, and as this phenomenon is amongst those still
poorly understood. Unfortunately, the experiments required to improve the level of knowledge are
both difficult and expensive (real material necessary).
3.1.2.4 Zircaloy melting and fuel dissolution
When the melting point of zircaloy is reached, the fuel is partially dissolved by liquid metal (which
does not flow out of the cladding as long as the zirconia layer remains intact). This dissolution may
lead to premature collapse of fuel rods, at temperatures below the melting point of UO2.
Melting/dissolution followed by molten corium relocation are the processes which have the main
impact on core geometry. They determine whether the core can be cooled by water injection
(reflooding) or, if not, whether it can at least be cooled locally. Several experimental studies have
been conducted in this area and while the level of knowledge is considerable, modelling is not yet
satisfactory. Some experimental results are still difficult to explain or interpret using existing models.
3.1.2.5 Corium progression
The progression of molten material through the core modifies local porosity and flow area, thus having
a direct impact on coolant flow (see Figure 3.1-1). This progression depends primarily on the viscosity
of the molten mixture, which is a function of its oxidation degree. In the 2100—2900 K range, the
effective viscosity of a U-Zr-O mixture is an increasing function of the oxygen level. Knowing how to
calculate the oxidation of such mixtures is thus particularly critical to determine corium progression.
Understanding of this phenomenon is incomplete, especially since most of the experiments conducted
to date (PHEBUS, CORA, PBF) have involved one-dimensional corium relocation. In contrast, it is likely
that radial corium progression is also important in reactor cores (the example of TMI-2 tends to prove
it, even though the scenario was not typical). There are various models of corium progression and, in
general, their results are globally satisfactory. One of the main shortcomings is the lack of validation
for 2D and 3D tests. Furthermore, there are still uncertainties regarding the physical properties of
corium, particularly solidus and liquidus temperatures, as well as apparent viscosity in the two-phase
region (solid-liquid). These properties have a direct impact on corium relocation.
- 28 -
Figure 3.1-1: Photos of two cross-sections from the QUENCH-02 test showing melt distribution in the assembly and impact on degradation
3.1.2.6 Oxidation of molten mixtures
Corium moving through the core contains zircaloy which has not been completely oxidised. The mixture
oxidises upon contact with steam. There are no experimental measurements of oxidation kinetics for a
liquid U-Zr-O mixture. However, during integral tests such as CORA, substantial hydrogen production
has been observed over a very brief period for scenarios involving reflooding or a local increase in
steam flowrate. This is particularly important for safety studies. At this time, the main experiments
used to understand this phenomenon are QUENCH tests, in which corium is a mix of Zr-O, rather than
the U-Zr-O found in real situations. Moreover, these experiments are integral tests, making it difficult
to distinguish oxidation from other processes (melt relocation, cooling, etc.). There is a general
understanding of the phenomenon, however, and models have been developed for most codes. But
some of these models are faulty, particularly those involving spalling of the zirconia layer; this process
has not been observed significantly or confirmed in QUENCH testing. For most models, validation is still
minimal. In particular, there is a need for more analytical tests aimed at validating models and
determining oxidation kinetics for molten mixtures.
- 29 -
3.1.2.7 Formation of a molten pool and corium relocation to the lower head
If the temperature is high enough, fuel melts and a molten pool forms in the core. Due to eutectic
formation, temperature remains below the UO2 melting point (3100 K) by several hundreds of degrees.
As the molten mass increases, the pool expands axially and radially in the core until it reaches either
the baffle or the lower core support plate, leading to corium relocation towards the lower plenum. It
should be noted that a molten pool is very difficult to cool. As a result, it may expand by incorporating
the rods located around it. Predictions of the mass, composition and temperature of the materials
relocated to the lower plenum, as well as relocation times, are critical to the study of subsequent
accident phases. At present, there are no experimental data allowing characterisation of the entire
formation and relocation phase for the molten pool originating in the core. Only partial
characterisations exist, either in quasi-1D assemblies (PHEBUS), or in preformed debris beds (RASPLAV,
ACRR, PHEBUS-FPT4). Models have been developed in most codes. The level of validation and detail is
satisfactory with respect to the experimental data available. Nonetheless, more representative data
should be obtained to enable the characterisation of pool growth through multidimensional rod
assemblies.
3.1.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES
3.1.3.1 Experimental programmes
Below is a rapid description of major experiments including recent, ongoing and future projects. Most
test programmes have produced data used for code validation. All tests used for this purpose are
catalogued in an OECD summary report [3.1_10], including:
• Separate effects tests on chemical interactions: Numerous tests, conducted by various teams (FZK
and AECL in particular), have helped determine kinetics of zircaloy oxidation, UO2 dissolution by
molten zircaloy, B4C oxidation, zircaloy dissolution by molten steel, etc.
• Separate effects tests on cladding rupture mechanisms: These tests (e.g. EDGAR tests) helped
determine creep laws for cladding based on cladding temperatures and oxidation states.
• LOFT-FP: This project, completed in 1985, was conducted by the Idaho National Laboratory
(INL/INEL, USA) on an assembly of 121 UO2 rods with nuclear heating (in-pile). It consisted of tests
on rod degradation and fission product release, and involved temperatures up to 2400 K (locally).
Steam cooling was used, followed by water reflooding.
• PBF-SFD: This project, completed in 1985, was conducted by INEL (USA), on an assembly of 32 rods
of non-irradiated UO2 with nuclear heating (in-pile). It included tests on degradation and FP
release, at temperatures up to 2600—3100 K (locally). Steam cooling was used, followed by water
reflooding (for some tests).
• NRU-FLHT: This project, completed in 1987, was conducted by AECL (Canada), on an assembly of
16 rods of non-irradiated UO2 with nuclear heating (in-pile). It involved degradation tests which
were unique because of their use of full-scale rods (3.7 metres in height).
- 30 -
• ACRR-MP: This project, completed in 1992, was conducted by SNL (USA). It involved in-pile tests of
debris bed melting (UO2+ZrO2) in a neutral atmosphere, with temperatures up to 3000—3200 K. The
formation and growth of a molten pool were observed.
• CORA: This project, completed in 1993, was conducted by FZK (Germany), on an assembly of 25
rods of non-irradiated UO2 with electrical heating (out-of-pile). It involved degradation tests at
temperatures up to 2200 K (locally). Steam cooling was used, followed by water reflooding (for
some tests) [3.1_13], [3.1_14].
• QUENCH: This project, managed by FZK (not finished yet, two tests remain to be conducted),
involved an assembly of 25 rods of non-irradiated ZrO2 and electrical heating (out-of-pile). It
consisted of degradation tests and involved temperatures above 2000 K (locally). Steam cooling was
used, followed by water or steam reflooding.
• PHEBUS-SFD and -FP: This project, completed in 2004, was conducted by IRSN on an assembly of 21
UO2 rods (irradiated in the case of PHEBUS-FP) with nuclear heating (in-pile). It involved
degradation and/or FP release tests with temperatures up to 2600–3100 K (locally). Steam cooling
was used.
• ISTC 1648 (QUENCH): This is a project of the ISTC (International Science and Technology Center,
overseen and funded by the European Commission) which is conducted by the NIIAR (Russia). It
aims to study reflooding under post-LOCA conditions and includes three items: degradation and
reflooding tests using irradiated VVER fuel segments, reflooding tests using a new VVER assembly of
31 rods (without UO2), and the development of a reflooding module for the SVECHA code by IBRAE
(Nuclear Safety Institute of the Russian Academy of Sciences).
• PARAMETER: This ISTC project, initiated by LUCH (Russia), involves degradation of prototypical
non-irradiated VVER assemblies of 19 rods (similar to QUENCH, but with UO2 pellets) and allows
bottom and/or top-down reflooding, with temperatures up to 2300 K. Two tests are planned, one
with slow degradation and top-down reflooding, and a second involving a mix of bottom and top-
down reflooding.
As indicated, there are few experimental programmes on late-phase effects, apart from PHEBUS-FP
and ACRR. The LOFT and PBF tests attained late-phase degradation, but did not involve detailed
analysis of corium progression and fuel rod melting.
Regarding knowledge of reactor core evolution after late-phase degradation, the TMI-2 accident
remains the sole point of reference. Detailed analyses of the TMI-2 reactor have been conducted and
are available in the literature [3.1_4], [3.1_11], [3.1_19], [3.1_20]. Figure 3.1-2 illustrates the
condition of the core following the accident. Of particular interest are the large molten pool within the
core, the collapse of a large portion of the rods above the pool (forming a debris bed) and partial
corium relocation towards the lower head. Some characteristics of the accident scenario are also worth
noting, particularly the high pressures involved and the fact that corium relocation to the lower head
occurred after core reflooding (the bottom part of the core was already quenched).
- 31 -
Figure 3.1-2: Schematic diagram of reactor core following TMI-2 accident
3.1.3.2 Modelling and computer codes
The following is a brief description of the main models and mechanistic codes (excluding integral
codes) used to simulate the phenomena described above.
SCDAP/RELAP (NRC) is a mechanistic code developed by INEL. It is the result of coupling the RELAP5
thermal-hydraulic code with the SCDAP degradation code and allows core modelling using parallel 1D
channels. It includes several models for simulating rod changes: heat transfers, residual power,
cladding oxidation, fuel dissolution, cladding rupture and FP release. The development of this code is
now complete [3.1_3], [3.1_5].
ATHLET-CD (GRS) is a mechanistic code coupling the ATHLET thermal-hydraulic code with a
degradation module. Very similar to SCDAP/RELAP, it allows core modelling using parallel 1D channels
and includes several models for simulating rod changes: heat transfers, residual power, cladding
oxidation, fuel dissolution, cladding rupture and FP release. The development of this code is ongoing
and involves, amongst other components, a dedicated module for the molten pool progression in the
core [3.1_16], [3.1_18].
- 32 -
ICARE/CATHARE (IRSN) is a mechanistic code for simulating PWR severe accidents. It is the result of
coupling the CATHARE thermal-hydraulic code with the ICARE degradation code. Although similar to
SCDAP/RELAP, it has undergone considerable development with regard to late degradation phases.
Moreover, it allows axisymmetrical 2D modelling of the core and the reactor vessel. It includes models
of several phenomena to allow simulation of rod changes as well as corium progression in the core and
lower head: heat transfers, residual power, cladding oxidation, fuel dissolution, cladding rupture, FP
release, 2D corium relocation, melt oxidation, rod collapse, formation and growth of the molten pool.
Development of this code is ongoing and involves, amongst other components, a model of degraded
core reflooding and complete modelling of corium behaviour in the lower head [3.1_6], [3.1_7].
RATEG/SVECHA (IBRAE) is a mechanistic code coupling the RATEG thermal-hydraulic code with the
SVECHA degradation module. The major strength of this code is the SVECHA module and its very
detailed modelling of some phenomena, particularly cladding oxidation, fuel dissolution, cladding
rupture and FP release. Its principal disadvantage is that it was designed for very detailed description
of degradation at the assembly scale (or of a representative rod); it is not suited to describe large scale
radial degradation propagation and late-phase effects (especially molten pool growth). Development of
this code is ongoing and involves, amongst other components, a dedicated module for corium melt
oxidation [3.1_17].
3.1.4 SUMMARY AND OUTLOOK
The physics of accident progression in the reactor core is currently well understood and modelled, in
particular the phase of rod oxidation and cladding rupture. However, there are still several
uncertainties concerning specific late-phase phenomena. This is particularly true for fuel rod collapse
and liquid corium oxidation. Additional experimental data are needed to improve modelling, especially
for the study of degraded core reflooding (aimed at demonstrating in-vessel coolability, see Section
6.1). But aside from those already underway, no new programmes are currently planned for these
themes. Given the high cost of real materials, it seems unlikely that new experimental programmes
(national or international) will be initiated in the near future. To reduce the remaining uncertainties,
the only alternative is to perform additional analysis of past tests (often insufficiently used) and
develop more detailed modelling based on advanced physical analysis.
- 33 -
3.2 CORIUM BEHAVIOUR IN THE LOWER HEAD
3.2.1 DEFINITION, OVERALL PHENOMENOLOGY
It is generally assumed that the lower plenum is filled with water when corium enters that area from
the core zone. It also seems likely that this corium contains a substantial fraction (between 25%—80%)
of unoxidised zircaloy (cladding material), which is said to be substoichiometric until it attains the
composition (U-Zr)O2,. The interaction of this corium (above 2500 K) with water at saturation leads to
more or less fine-grained fragmentation of corium jets into particles, causing intense steam production
capable of substantially increasing pressure in the reactor coolant system. When the partially
fragmented corium accumulates in the lower head, it forms what is called a debris bed. This bed is
either very compact, if there is little cooling, or composed of porous solid debris. Debris bed
coolability therefore involves a great deal of uncertainty. In any case, corium continues to
progressively evaporate residual water. Assuming there is no additional water supply and debris
configuration is such that it cannot be cooled, the temperature rises progressively until it reaches the
melting point of the steel structures (plates, tubes, etc.) located in the lower head. A substantial
quantity of molten steel is gradually incorporated into the corium. As the temperature rises, first
zircaloy then oxide debris melt and either form a pool or become part of the existing pool. Corium pool
formation in the lower head is a critical step in PWR core meltdown accidents. In such scenario, heat
flux at the pool-vessel interface is a key parameter for assessing the vessel mechanical resistance.
3.2.2 PHYSICAL PHENOMENA
There are two main risks when corium reaches the lower head. One is that the steam produced when
hot corium comes into contact with residual water will cause a pressure spike, or even an in-vessel
steam explosion (see Section 4.3). The other risk is that upon contact with corium, the vessel will
undergo a heat flux, which may be of considerable magnitude locally, potentially resulting in vessel
rupture. For such scenarios, safety studies should be able to determine the likelihood of in-vessel
corium retention and the conditions under which vessel rupture would occur (time, location,
characteristics of the corium transferred into the containment). There is thus a critical need to predict
the changes corium will undergo, from its relocation towards the lower plenum until its cooling or
transfer out of the reactor vessel. The main phenomena governing these changes are briefly described
below.
3.2.2.1 Corium jet fragmentation, debris formation
Corium descending as a jet is fragmented upon contact with water (see Figure 3.2-1). This phenomenon
is discussed in Section 4.3, which deals with steam explosions. Modelling the fragmentation process is
very complex, as this later chapter shows, and remains marked by substantial uncertainty [3.2_7],
[3.2_13].
- 34 -
Figure 3.2-1: Schematic diagram of molten corium arriving in the lower head and fragmenting upon contact with water
3.2.2.2 Direct contact of corium jets with the vessel
If there is little water in the lower head or the mass of relocated corium is substantial, corium jets
interact only partially with water; there is some direct contact with the vessel. In such a case, the
vessel may rupture very rapidly during contact with the corium jets. Although there are few
experimental studies of this phenomenon (a few CORVIS tests), it is relatively well understood. One of
the key parameters is the degree of corium overheating. According to estimations, corium temperature
cannot exceed 150 K over its melting point. An insulating crust may thus form between corium and the
vessel, which is in turn thermally protected during this phase of melt progression.
3.2.2.3 Steam explosion
Under certain conditions that are generally understood but not yet precisely quantifiable, the
interaction between corium jets and water may provoke a steam explosion (see Section 4.3).
3.2.2.4 Debris bed dryout, reflooding possibilities
Following corium jet fragmentation, particles settle in the lower head and form what is commonly
referred to as a debris bed. The debris bed may be very compact if there is insufficient cooling of the
droplets formed during jet fragmentation. The main area of investigation focuses on cooling this bed by
injecting water into the vessel (see Section 6.1.2). If this is not done, the debris bed progressively dries
out and melts, forming a pool which is much more difficult to cool down. There is currently a renewed
interest in understanding debris bed reflooding or/and dryout. One-dimensional models, derived from
the Lipinski model, provide estimates of the “critical dryout heat flux” based on debris parameters
(size, power, etc.). However, 1D modelling is a simplification, and characterising these phenomena
- 35 -
relative to the geometry under study still involves considerable uncertainty. Two-dimensional
simulations are now used to represent these phenomena.
3.2.2.5 Molten pool formation
As mentioned above, debris bed dryout is a key step in accident progression because it influences
molten pool formation or, if only a portion of the corium is fragmented into solid particles, propagation
of the existing pool. Given the results of the tests ACRR-MP, PHEBUS-FPT4 and RASPLAV AW-200
([3.2_12], [3.2_5], [3.2_1]), this phenomenon is now well understood and modelled, for inert
atmosphere conditions. Although interactions between liquid steel and (U-Zr)O corium have been
studied for many years, the importance of their impact on corium progression in the lower head was
recently highlighted (see below). The OECD MASCA project in particular has provided new insights. The
progression of a steel-containing debris bed in an oxidising atmosphere has yet to be studied (see
Figure 3.2-2).
Figure 3.2-2: Schematic diagram of corium configuration following dryout in the lower head; formation of a debris bed (more or less porous depending on fragmentation efficiency) around
steel structures
3.2.2.6 Natural convection in the molten pool
The power generated in the molten pool can be evacuated by its lateral edges (thus via the vessel) and
by its upper surface (via radiation and convective exchange with water if present). These heat
transfers generate the movements of natural convection (see Figure 3.2-3). One of the key parameters
for safety studies is the ratio between the upward heat flux and the outward heat flux through the
vessel wall. The flow regime is mainly turbulent, except in some areas with a very stratified
temperature field (e.g. at the bottom of the lower head). This phenomenon is relatively well
understood for simple pool configurations, and correlations for heat exchange at the pool boundaries
have been established (see Section 6.1 and [3.2_6], [3.2_14]).
- 36 -
Figure 3.2-3: Schematic diagram of convective structures in a turbulent molten pool with top-down and lateral cooling
3.2.2.7 Focusing effect
In the molten pool, there may be separation between non-miscible materials, resulting in a metal layer
floating above an oxide pool. In such a case, if the upper layer is thin, it may result in a local
concentration of the heat flux. This phenomenon, well understood and modelled ([3.1_17]), represents
one of the main hazards to vessel integrity, particularly if the vessel is not cooled externally. It is
explained in greater detail in Section 6.1.
3.2.2.8 Corium oxidation (particles or molten pool), hydrogen production
Aside from particle size, one of the main areas of investigation regarding corium fragmentation is
corium oxidation, because of the associated hydrogen production. It also has an impact on subsequent
corium progression because the oxidised Zr fraction influences corium viscosity and therefore its rate
of relocation. This fraction also affects molten pool stratification in the presence of steel (cf. MASCA
results). The ZREX/ZRSS tests (SNL, Zr/ZrO2 or Zr/stainless steel mixture) and the CCM tests (ANL,
UO2/ZrO2-corium + 24% steel) have partially answered this question. These tests suggest that, in the
absence of a steam explosion, fragmentation is not fine enough to result in significant oxidation of
debris. However, oxidation may reach 30% if water is at saturation. In the event of a steam explosion,
oxidation may be complete. It should be noted that there have not been enough tests to allow
sufficient quantification of this phenomenon (such experimental studies have been discontinued
because of the risks involved).
As to molten pool oxidation, this phenomenon has not been extensively studied and most of current
models are inadequate. The MASCA-2 tests (evolution of a stratified pool in an oxidising atmosphere)
may shed light on this area (after results are interpreted) even though they were not designed to
measure oxidation kinetics.
3.2.2.9 Metal/oxide stratification in the molten pool
The MASCA MA and STFM tests, which investigated metal-oxide separation in the U-O-Zr-Fe system at
high temperatures, shed light on an equilibrium between two non-miscible liquid phases, one metallic
and the other consisting of oxides. Depending on overall composition, the metallic phase, consisting
mainly of steel, may incorporate uranium and zirconium, becoming denser than the oxide phase. This
leads to stratification with the metallic phase at the bottom (Figure 3.2-4). Phase composition at
equilibrium can be predicted using thermochemical databases such as NUCLEA (developed by
- 37 -
Thermodata for the IRSN and the CEA). However, there is practically no modelling of this pool
stratification in severe accident simulation codes. Although stratification of two non-miscible liquids is
a well-known phenomenon, the coupled interaction between mass exchange (thermochemistry) and
flow dynamics (natural convection and stratification) remains a difficult transient process to model.
Figure 3.2-4: Layer arrangement assumed in the “classical” envelope approach (left) and observed during MASCA tests (right)
3.2.2.10 Dissolution of reactor vessel steel at sub-melting point temperatures
The formation of eutectic mixtures (Fe-U-Zr) makes it possible to dissolve steel starting at 1360 K. This
process may lead to premature corrosion of the reactor vessel steel if it comes into contact with
corium (UO2+ZrO2+Zr). Corrosion kinetics have been estimated (METCOR test), but the need remains for
a more detailed understanding of the process. However, the rate of creep above 1300 K is such that
steel no longer has any mechanical strength at such temperatures (see Section 3.3). This phenomenon
is therefore of secondary importance.
3.2.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES
3.2.3.1 Experimental programmes
Below is a rapid description of major experiments including recent, ongoing and future projects.
DEBRIS: This project, conducted by IKE (Stuttgart), aims to characterise two-phase flows in a debris
bed with volumetric heating. The experimental system is one-dimensional and consists of steel balls
heated by induction. The first phase involved characterising pressure drops, which is necessary to
predict the critical dryout heat flux. The experimental system was recently modified to allow
reflooding tests. As the preliminary tests were satisfactory, more quantitative tests are planned
([3.2_16]).
SILFIDE: This project, conducted by EDF, was aimed at characterising dryout of a debris bed with
volumetric heating. The debris bed was large enough to observe 2D flow effects, which made these
tests a unique reference for validation of 2D models. The debris bed consisted of steel balls heated by
induction. Interesting results were obtained despite the challenge of establishing a homogeneous
distribution of power. In particular, local flux was at times observed to be higher than the theoretical
critical flux (for 3-mm particles, the maximal flux measured during SILFIDE was 1.7 MW/m2 compared
- 38 -
with the 1 MW/m2 predicted by the Lipinski correlation). Researchers also observed temporary dryout
in localised zones, followed by rewetting. This experimental programme was completed in 2000
([3.2_2]).
RASPLAV: This OECD project was carried out by the Kurchatov Institute (Moscow), with the
participation of the IRSN, the CEA and EDF. It was aimed at studying the thermal hydraulics of a molten
pool (2D) composed of “real” materials (UO2+ZrO2+Zr). The tests, involving up to 200 kg of corium,
demonstrated that the heat flux at the boundaries of the molten pool was in agreement with
correlations developed from tests with simulant materials. However, it was shown that material
interactions could lead to a non-homogeneous distribution, resulting from stratification, for example.
Tests using simulant materials (binary salts) were also conducted to study crust formation. This
experimental programme was completed in 2000 ([3.2_1]).
MASCA: This OECD project was carried out by the Kurchatov Institute (Moscow), with the participation
of the IRSN and the CEA. The RASPLAV experimental facilities were found to provide interesting results
on material effects and their impact on heat flux distribution in a pool. The experiments thus focused
on how material interactions affected potential stratification of the molten pool and, consequently,
flows and heat exchange at the boundaries of the molten pool. The main tests were designed to study
the addition of steel and/or fission products and B4C to corium (UO2+ZrO2+Zr). At the same time, a few
thermophysical properties of metallic alloys (U-Zr-Fe) or oxides were measured, such as density,
viscosity, and solidus and liquidus temperatures. The second phase of the MASCA project was aimed at
studying the progression of a stratified corium pool under an oxidising atmosphere [3.2_10]. The
Kurchatov Institute has proposed a new programme called CORTRAN to study the progression of a
transient debris bed (UO2+ZrO2+Zr+Fe) up to the formation of a potentially stratified molten pool,
under an inert or oxidising atmosphere. It will not be possible to proceed with this programme under
the auspices of the OECD, but it will probably be proposed as an ISTC project.
SIMECO: This project, conducted by KTH (Stockholm), aims to study the heat flux in stratified pools
with different power density in each layer. In tests using simulant materials (salts and/or paraffins),
three-layer pool configurations were reproduced (similar to those observed during MASCA tests,
involving a heavy metal layer, an oxide layer and a light metal layer). This allowed measurement of
heat flux distribution along the vessel wall. The results require further analysis but, according to the
interpretation of KTH, they show a heat flux distribution different from what could be predicted by
classical correlations ([3.2_17]).
METCOR: The objective of this ISTC project, conducted by the NITI Institute (Saint Petersburg), is to
study corrosion of a steel sample (representing the vessel) by corium (UO2+ZrO2+Zr). The sample
undergoes external cooling and is submitted to a heat flux representative of the conditions in a large
molten pool (over 1000 K of variation across the sample). Interesting results have been obtained and
NITI plans to request a contract extension from the ISTC ([3.2_3]).
LIVE: The overall objective of this project, to be carried out by the FZK with support from the
European Commission, is to study the behaviour of a corium simulant in a hemispheric “lower head”
(around 1 m in diameter). The simulant is a binary mixture of NaNO3-KNO3. The first test was designed
to study the thermal hydraulics of a pool under steady-state conditions (flux distribution across the
- 39 -
inner surface). A second test, proposed by the IRSN and the CEA, was designed to study relocation
towards the lower plenum and spreading phenomena, with crust formation.
INVECOR: The aim of this ISTC project, to be conducted by the IAE-NNC-RK (Kazakhstan), is apparently
to study corium interactions with reactor vessel steel by pouring premelted corium (UO2+ZrO2+Zr) into
a hemispheric “lower head” (about 80 cm in diameter) and by using the appropriate setup to maintain
power density (this point requires further definition).
3.2.3.2 Modelling and computer codes
The following is a short description of the main models and specific codes (excluding integral codes)
used to simulate the phenomena described above.
CFD (computational fluid dynamics) codes: These codes solve Navier-Stokes equations for compressible
or incompressible fluids, either in 2D or 3D. They are usually easy to use, and offer several modelling
options (turbulence, transport of chemical species). They are used increasingly to study molten pools.
However, these codes are intended for rather generic applications and may prove limited for modelling
a particular phenomenon (e.g. solid particle formation or stratification).
MC3D (CEA/IRSN): This code is intended for detailed modelling of the corium-water interaction
(fragmentation, steam explosion). It is presented in Section 4.3 ([3.2_4]).
CONV 2D/3D (IBRAE): This code solves Navier-Stokes equations for incompressible fluids, in any
geometry (2D or 3D). It can be used to calculate molten pool progression and ex-vessel corium
spreading, and is similar to a CFD code. At present, its main shortcomings are the lack of turbulence
modelling (critical for large molten pools) and the absence of models for the chemical interactions
within corium (transport of chemical species and chemical kinetics not modelled) ([3.2_8]).
TOLBIAC (CEA): This is a dedicated model for simulating corium pools in the lower head. It integrates
the existence of two non-miscible liquids having the capacity to stratify in either of the two possible
configurations; it also accounts for potential crust formation on the pool's upper surface or along its
edges. It can be used to calculate transient evolutions in axisymmetrical 2D domains ([3.2_18]).
SURCOUF (CEA/IRSN, under development for ASTEC): This ASTEC module is designed to model debris
progression in the lower head by integrating the coupled interaction between thermochemistry and
thermal hydraulics. The 0D approach accounts for the existence of several layers (light metal, heavy
metal, oxide, solid debris) and calculates their respective positions, based on changes in density.
ICARE/CATHARE (IRSN): This mechanistic code, which calculates core degradation under severe
accident conditions, offers axisymmetrical 2D modelling of the reactor vessel and includes several
models designed to simulate corium behaviour in the lower head: corium jet fragmentation, debris bed
dryout, debris melting, metal/oxide stratification, corium oxidation, debris reflooding. The lower
plenum meshing is still rather crude and the numerical methods used are not as accurate as the CFD
models ([3.2_9], [3.2_11], [3.2_15]).
- 40 -
3.2.4 SUMMARY AND OUTLOOK
There are still many uncertainties in the prediction of corium behaviour in the lower head. The effects
of material interactions (miscibility gap, oxidation, dissolution) appear considerable, and adequate
models do not yet exist for all of them (mainly because the experimental results are recent). The
programmes currently underway will provide additional experimental data (cf. INVECOR, CORPHAD
[dedicated programme to enhance thermodynamic databases], etc.). This should improve current
models. After analysis, complementary tests may prove necessary, particularly if there are difficulties
transposing the results to a full-scale reactor.
- 41 -
3.3 VESSEL RUPTURE
3.3.1 DEFINITION, OVERALL PHENOMENOLOGY
During a severe accident, vessel integrity may be threatened by various phenomena. When corium from
the molten core relocates to the lower head, the vessel wall may be eroded by direct contact with
corium jets, or a steam explosion may occur when corium interacts with the residual water in the
lower head. If the vessel resists this transient relocation phase, it may then be threatened by the
formation of a molten pool in the lower head.
In the event of vessel wall erosion by corium jets, the phenomenon is more intense if there is a large
quantity of corium or if the residual water level is low. This may lead to very rapid rupture when the
vessel comes into contact with a jet. However, certain experiments, carried out for jet temperatures
of almost 2500 K, indicate that a crust forms between the jet and the molten metal, substantially
slowing the rate of erosion ([3.3_1]). Other factors may attenuate the consequences of contact
between corium jets and the vessel, namely the variable location of impact, the presence of water in
the lower head and the generally limited duration of impact. Contact between corium jets and residual
water may also lead to very rapid and intense steam generation, resulting in an extreme internal
pressure peak and, in some cases, a steam explosion. Such an explosion could be followed by a very
large shock wave, capable of damaging the vessel. Despite the low probability of such a rupture, it
cannot be ruled out and remains an area of investigation ([3.3_2], [3.3_3]).
Should molten corium form a pool in the lower head, heat exchange between the pool and the vessel
may provoke localised overheating (or partial melting), thereby resulting in vessel penetration. This
heat exchange is even greater for high-mass corium pools. Corium pool formation and relocation to the
lower head was in fact observed during the TMI-2 accident in 1979 ([3.3_4]). However, during this
accident, the vessel integrity remained completely intact and later analyses posited that 1) the corium
debris was porous, allowing some cooling; and 2) a gap existed between the pool and the vessel inner
surface. The gap is believed to have allowed circulation of water or steam. Calculations showed that a
small amount of coolant and a narrow gap would suffice in reducing heat exchange between the pool
and the vessel ([3.3_5]). It should also be noted that high pressure may have a favourable impact on
corium cooling in such scenarios (increased critical flux and vessel deformation from creep or
plasticity, potentially enlarging the gap).
Moreover, in PWRs the lower head contains tubular penetrations for guide thimbles, used to introduce
instruments for measuring neutron flux. Vessel rupture may be initiated in the zones around these
penetrations.
3.3.2 PHYSICAL PHENOMENA
The scenarios examined below involve relocation of molten corium to the lower head and pool
formation. The vessel failure time as well as the failure location and size of the breach are considered
as key elements because of their role in ex-vessel accident progression.
- 42 -
The physical variables that influence the failure time are mainly the RCS pressure and the internal
vessel temperature (related to corium pool mass and configuration). The RCS pressure is generally
uniform throughout the vessel, but it may increase rapidly if water is injected into the vessel. The
temperature of the structure is strongly linked to the heat flux transferred through the vessel
thickness. The failure location depends essentially on temperature distribution inside the vessel, and
the zone likely to fail first is the hottest area. Other vulnerable zones are those for which the vessel
thickness has been eroded during the corium jet phase (if it occurred), as well as zones that are non-
typical due to the presence of penetrations and their welding. Vessel failure can be triggered either by
plastic instability or creep. Plastic instability occurs when membrane stress acting in the vessel
thickness is greater than the ultimate material strength, which decreases considerably at higher
temperatures. Creep, which is an active mechanism of deformation, generally occurs at temperatures
above 800 K. When higher temperature reaches throughout the vessel thickness, creep may occur even
if pressure levels remain low. Once initiated vessel cracking spreads, and final breach size is highly
dependent on the mode of crack propagation. It will be shown in a later section that the propagation
mode is directly tied to the metallurgical characteristics of vessel materials. Differences in chemical
composition (even in trace elements) may change rupture behaviour at high temperatures; the rupture
can be either brittle or ductile. Tests conducted on lower head mockups ([3.3_6] and [3.3_7]) have
shown that if two materials behave differently at high temperatures (hot shortness vs. ductility), the
final breach sizes will also differ considerably.
3.3.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES
As part of their experimental research on lower head rupture behaviour, specifically the scenario of
corium relocation and pool formation, Sandia National Laboratories in the US conducted two
experimental programmes, LHF (1994—1999) and OLHF (1999—2002) ([3.3_6], [3.3_7]). The second
programme, an extension of the first, was carried out with international cooperation via the OECD. LHF
involved eight tests and OLHF involved four. Although the same type of 1/5th scale mockup was used
for both programmes, thickness was doubled for OLHF to study the impact of the temperature gradient
across the vessel wall thickness. Several methods were used to heat the mockup, namely overheating
of an azimuthal band (representing a lower head corium pool with maximum heat flux at its free
surface), overheating of a localised zone (representing a lower head hotspot) and finally, uniform
heating throughout the lower head area (representing scenarios where core melt gradually relocates to
the lower head). The experimental protocol called for increasing temperature at a constant rate until
mockup rupture occurred. The LHF tests were carried out under constant pressure (seven tests at 10
MPa and one test at 5 MPa). Two of these tests were aimed at studying the behaviour of penetrations.
For OLHF tests, only uniform heating was used (see Figure 3.3-1), along with two pressure levels: 5 MPa
and 10 MPa. The last two tests of the OLHF programme focused respectively on the behaviour of
penetrations (pressure at 5 MPa) and the impact of a 5—10 MPa pressure jump on the rupture mode.
During tests with penetrations, weld leaks generally occurred, resulting in termination of the
experiments prior to actual rupture of the lower head.
- 43 -
Figure 3.3-1: OLHF 1/5-scale lower head and installation of its induction heating system
In these series of tests, particular attention was paid to failure times and modes, as well as breach
size. It should also be noted that the LHF and OLHF programmes enabled development and validation
of numerical models needed to study the thermomechanical behaviour of the lower head prior to
rupture. The various models developed are briefly presented below:
• Two simplified models (1D and 2D) were developed by the IRSN. The 2D simplified model was
recently implemented in the ASTEC and ICARE/CATHARE computer codes. As part of a SARNET
initiative, the results obtained using this 2D simplified model, and those from the EDF code
(Code_Aster) as well as from the FZD code, are currently being compared.
• 2D finite element models have been developed by other partners of the OLHF programme, namely
the AVN (Samcef), the CEA (Cast3m), the GRS (Adina), SNL (Abaqus), the UJV (Systus) and the VTT
(Pasula). A benchmarking exercise comparing the 1D and 2D results with the experimental findings
of the first OLHF test (OLHF1) concluded that predictions of failure times and rupture locations are
generally accurate and consistent with experimental data ([3.3_8]). Figure 3.3-2 compares the
final elongation of the lower head in OLHF1 with predictions from various numerical models.
• 3D finite element models were developed by the AVN, the CEA and SNL. Their predictions of failure
times and rupture locations were also completely aligned with experimental results. Additional
work by the CEA on the Cast3m code enabled analysis of crack propagation for the OLHF1 test and
led to estimations of final breach size that were totally in keeping with experimental data.
However, this propagation model cannot be applied to the other LHF and OLHF tests.
- 44 -
Figure 3.3-2: Comparison of the OLHF1 lower head elongation using different models
Below are additional conclusions based on the results of analyses and interpretation of the LHF and
OLHF tests ([3.3_9]):
• LHF and OLHF tests demonstrated variations in the behaviour of vessel materials (hot shortness vs.
ductility) at around 1000 °C. This variability seems strongly linked to the presence of certain
components (sulphur, aluminium nitride, etc.). The tests also pointed to the impact of this
variability on final breach size and the difficulty of integrating it into existing numerical models.
• Thus the experimental results do not provide a means of estimating breach size relative to the
loads under study (or extrapolating to a reactor scenario); 3D finite element analysis is at present
inevitable and requires a failure criterion capable of accounting for this variability in material
behaviour.
In addition to the LHF and OLHF tests, the FOREVER tests ([3.3_10] and [3.3_11]), conducted by the
Royal Institute of Technology in Stockholm (KTH), should also be mentioned. These tests used 1/10th
scale mockups of a reactor pressure vessel. The experimental protocol involved pouring a molten pool
of binary oxide (30% by weight of CaO, 70% by weight of B2O3) into the mockups, the binary oxide
simulating corium at a temperature of around 1200 °C. With the pool maintained close to this
temperature, pressure inside the vessel was then increased to 2.5 MPa until lower head rupture
ensued.
The RUPTHER programme ([3.3_12]) is also worth mentioning. Conducted by the CEA from 1995 to 1999
as provided for in the CEA/EDF/FRAMATOME cooperative document, this programme aimed to
characterise vessel steel and model vessel behaviour in a PWR subjected to severe accident loads.
RUPTHER consisted of three parts: the first focused on characterising 16MND5 steel (tensile strength
- 45 -
and creep from 20 °C to 1300 °C), the second involved modelling and the third dealt with experimental
validation. The specimens used for the validation tests were tubes subjected to internal pressure and
heated to very high temperatures (700—1300 °C). The cylindrical form was chosen for its simplicity and
because it allowed control of parameters while remaining representative of the essential elements
under study (material, loading and rupture modes). The RUPTHER programme was the first attempt at
material characterisation for French reactor vessels (16MND5) in typical severe accident conditions.
However, as work progressed certain deficiencies came to light (both in the modelling and the
mechanical characterisation of 16MND5 steel). There were also other difficulties, mainly related to the
metallurgical complexity of this material. Not surprisingly, the results showed that its metallurgical
properties were strongly coupled to its rupture behaviour.
To elucidate the variability in rupture behaviour observed for the vessel materials during the LHF/OLHF
tests, the IRSN launched a research programme in collaboration with the CEA and INSA Lyon. The
programme focused on materials in French reactor vessels and had a twofold objective: to complete
the characterisation database for these materials and to apply study results to French reactors.
The programme began with an inventory of the properties and compositions of the materials used in
French vessels (carried out by Framatome), then turned to the selection of five study materials with
sufficiently different metallurgical and mechanical properties.
Samples of these five materials were then subjected to high-temperature characterisation tests, which
confirmed that certain materials exhibited brittleness around 1000 °C (ductility trough). Identification
of the metallurgical factors responsible for this hot shortness also revealed aluminium nitrate
precipitates and manganese sulphide precipitates at the grain boundaries and provided insight into
their role. This study is in the process of being finalised and work on its summary report is underway.
Concurrently, high-temperature characterisation tests (900—1000 °C) on CT (compact tension)
specimens have also been initiated to characterise vessel steel properties that are essential for crack
propagation kinetics. These tests are very useful for developing crack propagation models. High-
temperature testing on tubes will also be conducted by INSA Lyon to characterise the rate of
propagation.
Incidentally, several theoretical studies and the CORVIS tests ([3.3_14]), conducted at the PSI in
Switzerland, have focused on the behaviour of penetrations under severe accident conditions involving
relocation of corium to the lower head. These investigations targeted the length of corium penetration
in the tubes and the various possibilities of their rupture (see comprehensive study [3.3_12]). It was
found that even if corium penetrates quite far into the tubes, the resulting heat flux is usually not
sufficient to bring about the ablation of the tube walls and that RCS pressure and temperature
conditions should not cause plastic instability leading to their rupture. Tube ejection following rupture
of the welded joint between the lower head and the penetration is also unlikely, as is melting of the
retaining flange. It should be noted that the CORVIS tests were primarily carried out on BWR
penetrations, which are greater in diameter than PWR penetrations. Therefore, the results obtained
tend to penalize the situation in PWRs.
- 46 -
Two finite element models for studying the rupture behaviour of lower head penetrations were also
developed by the VTT as part of the OLHF programme ([3.3_15]). The results from these models are
consistent with experimental findings.
3.3.4 SUMMARY AND OUTLOOK
The computational models (simplified or finite element) developed by the various partners (AVN, CEA,
GRS, IRSN, SNL, UJV and VTT) as part of the LHF and OLHF programmes have demonstrated their
capacity to determine the lower head failure time and the zone in which the crack is initiated. The
various results are generally consistent with each other as well as with experimental data. For a more
precise investigation of crack propagation and final breach size, the only option at present is a 3D
finite element model. However such a model, capable of integrating the effects of additional
metallurgical elements on the vessel rupture mode, is not yet available. The IRSN/CEA/INSA Lyon
experimental programme aimed at material characterisation in French reactor vessels is currently
being finalised. It should enable:
• Diagnosis of the brittle/ductile behaviour of vessel steel based on chemical and metallurgical
composition.
• Enhancement of the 3D finite element model so that it takes this variable behaviour into account.
In this experimental programme, high-temperature characterisation tests of vessel steel did in fact
show ductile/brittle variability around 1000 °C. This variability seems strongly linked to the presence
of aluminium nitrate and manganese sulphide. Another related project is the characterisation of vessel
materials with regard to crack propagation. The project is currently underway, but there are major
technological obstacles to conducting tests of this type (at too high temperatures). The next step
should involve developing a model of crack propagation at high temperatures.
- 47 -
3.4 HIGH-PRESSURE CORE MELTDOWN
3.4.1 DEFINITION, OVERALL PHENOMENOLOGY
A severe accident scenario in a PWR involving loss of pressure control may lead to a core meltdown
under high-pressure conditions. In such an accident, the steam leaving the core and circulating by
natural convection in the reactor coolant system causes considerable overheating which, in conjunction
with high pressure, may provoke creep-induced rupture of part of the hot leg piping, the steam
generator tubes or, in some cases, another RCS component. The situation is referred to as high-
pressure core meltdown and the resulting ruptures are traditionally called “induced breaks” in the
reactor coolant system.
Experiments have shown that in such situations, there is a natural circulation of steam between the
vessel and the steam generators (SGs) via the hot legs, due to the presence of a water slug in the RCS
crossover legs. Overheated steam from the core moves along the loops by the hot leg and some of the
SG tubes where it cools down; it then returns towards the vessel via other SG tubes and the hot leg
(where countercurrent flow thus occurs) (Figure 3.4-1). This circulation helps evacuate heat out of the
core and transfers heat towards the various structures.
Figure 3.4-1: Modes of steam circulation in the reactor coolant system
The consequences of a high-pressure rupture depend on the location and size of the earliest break,
from which point vessel rupture is inevitable. A high-pressure rupture of the vessel lower head can
result in direct heating of containment gases and potential loss of containment (see Section 4.1). A
rupture in a steam generator (SG tube or tubesheet) results in containment bypass. These phenomena
- 48 -
can be avoided if the rupture is located in an area other than the lower head or the SGs. To assess the
consequences, break location must therefore be determined.
3.4.2 PHYSICAL PHENOMENA
Estimating break location in the reactor coolant system is based on estimating the chronology of
potential RCS ruptures and identifying the earliest one. Such estimation requires knowledge of the
thermal and mechanical loads as well as how the structures will react to these loads. This in turn
requires knowledge of the mechanical behaviour of component materials at high temperatures. Given
that mechanical stress results from internal pressure and the coupling between thermal expansion and
boundary mechanical conditions, three-dimensional aspects play a significant role in assessing the
collapse of the various structures.
To estimate thermal loads, the power generated in the core (residual power and energy released
through the exothermic oxidation of Zr) must be known. Thermal loads are also dependent on
convective transport of fission products (FP) in the reactor coolant system. Therefore, modelling the
various convection loops and phenomena involved in FP release, transport and deposition is particularly
important.
3.4.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES
Although all programmes targeting core degradation, fission product release, corium relocation and
lower head failure are more or less directly tied to studies of high-pressure core meltdown, various
experimental and modelling programmes specific to problems of this type have been conducted.
Historically, they were initiated in the United States. One of the first outcomes was the demonstration
of gas circulation flows in mockup tests (Section 3.4.3.1). Various computer codes have been adapted
to model these circulation flows (Section 3.4.3.3) and can be used to determine changes in thermal
loads. Mechanical studies using finite element analysis and based on these simplified loads allow more
detailed modelling of structural response (Section 3.4.3.2.2). Mechanical tests (Section 3.4.3.1)
reinforce this approach and provide additional modelling for the welding in RCS loops. In recent years,
IT development has also made it possible to perform CFD simulations of hot leg circulation flows at a
given time (Section 3.4.3.2.1). This partially compensates for the lack of experimental data.
3.4.3.1 Experimental programmes
Westinghouse tests: These tests were aimed at simulating gas circulation and heat exchange during a
severe accident in a PWR system. Conducted in the early 1980s, they were financed by the EPRI
(Electric Power Research Institute) and involved a simulant fluid in a 1/7th scale mockup of one side of
a four-loop Westinghouse PWR (mockup thus included the vessel, two hot legs and two SGs). In
particular, these tests revealed recirculation flows in the hot legs and SG tubes, the mixing of hot and
“relatively cold” gases in the SG inlet plenums, and gas stratification in the hot legs. They also enabled
quantification of the associated phenomena. The tests also estimated the mix ratio in the SG inlet
plenums as well as the ratio of “direct” SG tubes (i.e. with gas circulation from the inlet plenum to the
outlet plenum) to the number of “indirect” SG tubes (i.e. with gas circulation in the opposite
- 49 -
direction). These tests are described in several publications ([3.4_1], [3.4_2] but the results are only
partially available), and were used to qualify certain computational tools ([3.4_3], [3.4_4]).
MECI programme: Conducted by the CEA between 2000 and 2004 and financed by the IRSN, this
programme was aimed at characterising the mechanical aspects of the “induced break” problem
([3.4_5], [3.4_6]). It entailed material characterisation, burst tests on tubes representative of hot legs,
and SG tube burst tests. Concerning material characterisation, the MECI tests enhanced existing data
on the various grades of steel comprising the hot legs. They also made it possible to assess
uncertainties under creep conditions, determine the properties of materials used in the burst tests and
compare these properties with those available in the literature (in particular, the inventory of RCS
material properties compiled by Framatome). The main objective of the high-pressure tube burst tests
was to validate methods of assessing collapse times for the various structures. They were carried out
on SG tubes, and on tubular test specimens representative of hot leg geometry (straight tube, half
scale) and hot leg materials. At constant pressure, the test specimens were subjected to a thermal
load with a “temperature ramp” (constant rate of temperature increase) until they ruptured. The hot
leg tests focused in particular on characterising the behaviour of the various material grades present in
the circuits and included tests on mono-material mockups (i.e. entirely comprised of 16MND5 steel or
316L steel) and welded mockups representing real welded joints. A distinction was made between
“homogeneous” joints [LH in table below], consisting of a welded assembly of two 316L steel half-
models, and bimetallic joints [LBM in table below], consisting of the welded joint between a 316L steel
half-model and a 16MND5 steel half-model. The test grid is provided in Table 3.4-1, taken from [3.4_6].
In left-to-right order, the four columns respectively list test materials, mockup thickness, membrane
stress and heating curve slope.
- 50 -
Table 3.4-1: Grid for burst tests on hot leg mockups
Material Thickness
(mm)
σσσσθθθθθθθθ
((((MPa) ∆T/∆t
(°C/s)
316L 10.5 107 0.2
316L 10.5 107 0.05
316L 15 75 0.2
316L 15 75 0.05
16MND5 10.5 107 0.2
16MND5 10.5 107 0.05
16MND5 15 75 0.2
16MND5 15 75 0.05
LBM (16MND5L/316L) 15 75 0.2
LBM (16MND5L/316L) 15 75 0.2
LBM (16MND5L/316L) 15 75 0.05
LBM (16MND5L/316L) 15 75 0.05
LH (316L/316L) 15 75 0.2
LH (316L/316L) 15 75 0.2
LH (316L/316L) 15 75 0.05
LH (316L/316L) 15 75 0.05
Regarding SG tube tests, two pressure loads were studied, representing respectively pressurised and
depressurised conditions in the secondary system. These tests were repeated for various temperature
slopes and on tubes that were either in good condition or defective (notches or recesses). The test grid
is provided in Table 3.4-2, taken from [3.4_6].
Table 3.4-2: Grid for SG tube burst tests
Internal pressure
(bar)
Temperature ramp
(°C/s)
Defect geometry Sample number
80 150 0.05 0.1 None Notch Recess
0 • • •
1 • • •
2 • • •
3 • • •
4 • • •
5 • • •
6 • • •
7 • • •
8 • • •
9 • • •
10 • • • 11 • • • 12 • • •
- 51 -
Figure 3.4-2 below presents the experimental setup and the post-test condition of the hot leg mockup.
Figure 3.4-2: Rupture via longitudinal cracking in tube NO. 2 — 316 L — 0.05 °C/s — 107 MPa
Tube 2 avant mise en place sur le banc.
Détail d’une extrémité de la fissure
Aperçu des dégâts, vue d’un bouclier endommagé.
- 52 -
3.4.3.2 Modelling using CFD or finite element analysis
Computational fluid dynamics and finite element analysis are used to compensate for the shortcomings
of large-scale experimental testing. These approaches are used respectively for thermal-hydraulic
studies and thermomechanical studies.
3.4.3.2.1 Thermal-hydraulic phenomena
The CFD approach, which involves numerical simulation of gases in an RCS loop, was recently adopted
by the NRC using the FLUENT code ([3.4_7]), and by the IRSN with the CFX and TRIO codes (for the
latter, as part of a collaboration with the CEA) ([3.4_8]). Using current computational methods, around
10% of SG tubes are modelled; their characteristics are adapted to represent the entire SG bundle.
Modelling is limited to the reactor coolant system, and exchanges with the secondary system are
accounted for via a boundary condition. This type of analysis provides a detailed vision of flows at a
given time. In particular, it enables reassessment of certain flow characteristics (mix ratio in the SG
inner plenum, distribution of direct and indirect SG tubes).
One of the noteworthy findings in the results produced for the IRSN is the existence of a third category
of SG tubes, characterised by the quasi-absence of gas circulation. The analysis also provides three-
dimensional temperature profiles of gases in the reactor coolant system, which are of course
impossible to obtain using systems-level analysis. In particular, they point to a potential triple
stratification in the hot leg, with a “warm” layer between the hot and cold layers. Figure 3.4-3 shows a
thermal profile (hot leg and inlet plenum) from a TRIO-U calculation.
The NRC recently conducted similar studies ([3.4_7]). In particular, and in addition to determining
characteristic mixing parameters, the studies analysed the thermal-hydraulic consequences of SG tube
leaks based on flowrates and break location (impact on mix ratio and relative number of “direct” and
“indirect” tubes).
It should also be noted that in 1998, prior to the NRC studies, Framatome conducted comparative work
on gas circulation using the MAAP4 and TRIO VF codes ([3.4_9]). Two-dimensional TRIO VF modelling
was used.
- 53 -
Figure 3.4-3: Example of a thermal field produced by a TRIO-U calculation
3.4.3.2.2 Mechanical phenomena
Finite element analysis for the zone including the hot leg piping and the lower steam generator area
was carried out by the CEA for the IRSN ([3.4_10]). It focused on the impact of expansion and
mechanical jamming on the state of mechanical stress and, consequently, on rupture times and
locations. The resulting model involved varying the geometry of hot leg thermal loads according to the
indications provided by CFD analysis. It also accounted for hot leg weld strength via a specific
calculation for the damage produced, which involved introducing a corrective factor for creep damage
(modification of the Larson-Miller parameter). Creep-induced variations of properties of the various
materials were handled in a similar way. Figure 3.4-4 shows the damage to a hot leg (sectional view) at
the time of “rupture” (the damage reached a value of 1). Here, the rupture was initiated at the
entrance of the elbow upper surface before the SG.
Framatome has focused closely on the tubesheet, developing a special orthotropic elastic model for its
study. The IRSN has added to this model by extending it to the plastic domain (perfect-plastic model).
A more specific model was also developed to study the leaktightness of SG manholes ([3.4_11]). It
should be noted that all the mechanical calculations are dependent on thermal loads, which must be
provided.
- 54 -
Figure 3.4-4: Mechanical analysis of hot leg strength using the Cast3M code; damage at the time of rupture
3.4.3.3 Systems-level analysis
Given the computational time required, it is not possible to carry out a full thermal-hydraulic analysis
of an accident transient using a CFD code. As a result, mechanical strength behaviour of the various
structures is still investigated using thermal fields based on systems-level codes with 1D models of the
circuits. The codes which have been used for this purpose are RELAP5 (NRC [3.4_12]), MAAP (EPRI
[3.4_13], Framatome and EDF), MELCOR (IRSN, NRC) and ICARE/CATHARE (IRSN). All these codes model
core degradation as well as circulation flows in the RCS and the secondary system. “Traditional”
models of the reactor coolant system must be adapted to allow simulation of recirculation flows and of
hot and cold gas mixing in the SG inlet plenums. These modifications involve duplicating legs and
volumes.
3.4.4 SUMMARY AND OUTLOOK
3.4.4.1 Needs
The IRSN has enhanced R&D results through its Level 2 PSA studies. The assessment of uncertainties in
these studies demonstrates that it is still difficult to reliably predict induced break location. Regarding
this difficulty, the following phenomena are particularly relevant:
• Core degradation (power evacuated laterally towards the downcomer, power evacuated
towards the upper plenum, power stored in the core, corium relocation).
• Gas mixtures in the vessel upper plenum and the steam generator inlets (SG).
• Phenomena involved in release, transport and deposition of FP.
- 55 -
However, the multiple improvements made to the ICARE/CATHARE systems-level code via 2D
axisymmetrical vessel modelling should enable considerable advances in prediction of break location.
Nonetheless, there are still major uncertainties concerning the mixing of gases in the steam generator
inner plenums. These points can only be ameliorated through complex CFD studies.
3.4.4.2 Future projects
Project ROSA: This OECD project involves a quadripartite agreement between its four participants —
EDF, Areva, the CEA and the IRSN. It aims to further development and validation of thermal-hydraulic
models in the systems-level codes used for analysing accidental transients in PWR nuclear plants. It will
involve tests on the ROSA/LSTF experimental loop at the JAERI institute (Japan), which uses a 1/48th
scale mockup with two loops to represent a four-loop 1100-MWe PWR. The tests will simulate six
classes of accidental transients. One of the accident groups simulated, involving natural circulation of
overheated steam in the reactor coolant system during high-pressure transients ([3.4_14]), may then
be used to validate computer codes. This programme began in 2005 and should be completed by 2009.
As of this writing, the natural circulation tests have not yet been conducted.
- 56 -
CHAPTER 3 TABLES
Table 3.4-1: Grid for burst tests on hot leg mockups ............................................................. 50
Table 3.4-2: Grid for SG tube burst tests ........................................................................... 50
- 57 -
CHAPTER 3 FIGURES
Figure 3.1-1: Photos of two cross-sections from the QUENCH-02 test showing melt distribution in the
assembly and impact on degradation ................................................................................ 28
Figure 3.1-2: Schematic diagram of reactor core following TMI-2 accident .................................. 31
Figure 3.2-1: Schematic diagram of molten corium arriving in the lower head and fragmenting upon
contact with water ...................................................................................................... 34
Figure 3.2-2: Schematic diagram of corium configuration following dryout in the lower head; formation
of a debris bed (more or less porous depending on fragmentation efficiency) around steel structures . 35
Figure 3.2-3: Schematic diagram of convective structures in a turbulent molten pool with top-down and
lateral cooling ............................................................................................................ 36
Figure 3.2-4: Layer arrangement assumed in the “classical” envelope approach (left) and observed
during MASCA tests (right) ............................................................................................. 37
Figure 3.3-1: OLHF 1/5-scale lower head and installation of its induction heating system ................ 43
Figure 3.3-2: Comparison of the OLHF1 lower head elongation using different models .................... 44
Figure 3.4-1: Modes of steam circulation in the reactor coolant system ...................................... 47
Table 3.4-2: Grid for SG tube burst tests ........................................................................... 50
Figure 3.4-3: Example of a thermal field produced by a TRIO-U calculation ................................. 53
Figure 3.4-4: Mechanical analysis of hot leg strength using the Cast3M code; damage at the time of
rupture .................................................................................................................... 54
- 58 -
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[3.2_17] A.V. Stepanyan, A.K. Nayak, B.R. Sehgal, "Experimental Investigations of Natural Convection
in a Three-layer Stratified Pool with Internal Heat Generation", Proceedings of NURETH11
Conference, Avignon (France), 2005.
[3.2_18] Vandroux-Koenig S. et al., "TOLBIAC version 2.2 code description", NT SMTH/LM2/99-36, 1999
– Non-public reference.
[3.3_1] Saito M. et al., "Melting attack of solid plates by a high temperature liquid jet – effect of
crust formation", Nuclear Engineering and Design, Vol. 121, 1 (1990).
[3.3_2] Theofanous T. G. et al., "Lower head integrity under steam explosion loads", Nuclear
Engineering and Design, Vol. 189 (1999).
[3.3_3] Sehgal B. R. et al., "Assessment of reactor vessel integrity (ARVI)", Nuclear Engineering and
Design, Vol. 235 (2005).
[3.3_4] Wolf J. R. et al., OECD-NEA-TMI-2 Vessel Investigation Project. Report TMI V(93)EG10 (1993).
[3.3_5] Stickler L. A. et al., OECD-NEA-TMI-2 Vessel Investigation Project. Calculations to estimate
the margin-to-failure in the TMI-2 vessel. Report TMI V(93)EG01 (1993).
[3.3_6] Chu T. Y. et al., "Lower Head Failure Experiments and Analyses".
NUREG/CR-5582, SAND98-2047.
[3.3_7] Humphries L. L. et al., "OECD Lower Head Failure Project Final Report".
OECD/NEA/CSNI/2(2002)27.
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[3.3_8] Nicolas L. et al., "Results of benchmark calculations based on OLHF-1 test", Nuclear
Engineering and Design, Vol.223 (2003), pp. 263-277.
[3.3_9] OLHF Seminar 2002 - Nuclear Safety – NEA/CSNI/R(2003)1.
[3.3_10] Sehgal et al., "Assessment of reactor vessel integrity (ARVI)", Nuclear Engineering and Design,
Vol. 221 (2003).
[3.3_11] Sehgal et al., "Assessment of reactor vessel integrity (ARVI)", Nuclear Engineering and Design,
Vol. 235 (2005).
[3.3_12] Devos, J., et al., 1999, "CEA programme to model the failure of the lower head in severe
accidents", Nuclear Engineering and Design, Vol. 191, pp 3-15.
[3.3_13] B. Autrusson, G. Cénérino, "Synthèse des études concernant le comportement mécanique du
fond de cuve", Note technique DPEA/SEAC/97-069 – Non-public reference.
[3.3_14] H. Hirschmann, "State of progress", December 1996, CORVIS, Report N°7 February 1997, Paul
Scherrer Institute – Non-public reference.
[3.3_15] K. Ikonen, R. Sairanen, "FEM Analysis of OLHF tests with and without penetration", OLHF
Seminar 2002, Madrid, June 26-27, 2002 - (Paper from VTT, Nuclear Energy, Finland).
[3.4_1] "Experiments on natural circulation flows in steam generators during severe accidents".
Stewart, Pieczynski & Srinivas. Proceedings of the international ANS/ENS topical meeting on
thermal reactor safety. Sans-Diego, 1986.
[3.4_2] "Experiments on natural circulation flow in a scale model PWR reactor system during
postulated degraded core accidents". Stewart, Pieczynski & Srinivas. Proceedings of the 3rd
international topical meeting on reactor thermal hydraulics, Newport, Rhode Island (October
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[3.4_3] "Experiments on natural circulation during PWR severe accidents and their analysis". Seghal,
Stewart & Sha, International European Nuclear Society / ANS, Meeting on Reactor Safety.
Avignon, France, 1988.
[3.4_4] "CFD predictions of severe accident steam generator flows in a 1/7th scale pressurized water
reactor". Boyd & Hardesty. Proceedings of the 10th international conference on nuclear
engineering (Icone10), April 14-18, 2002, Arlington, Virginia.
[3.4_5] Programme de travail proposé par le DPEA/SEAC et le DES/SAMS sur l’étude des brèches
induites. Dietrich, Dupas, Durin, Goetsch, Gomane. Fiche technique DPEA/SEAC/2000-04 –
Non-public reference.
[3.4_6] Brèches induites – Réacteurs à eau pressurisée type 900 MWe – "Synthèse du programme
analytique et expérimental réalisé au CEA de 1999 à 2003". J.M. Stelmaszyk. Rapport SAMS
n°2. – Non-public reference.
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[3.4_7] "CFD analysis of full-scale steam generator inlet plenum mixing during a PWR severe
accident. Boyd, Helton & Hardesty". NUREG-1788.
[3.4_8] "Brèches Induites – Simulation « best estimate » d’écoulement dans la branche chaude et le
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[3.4_9] "Comparaison MAAP4.03/TRIO.VF sur la circulation naturelle des gaz chauds dans le primaire
en cas de scénario de fusion de cœur sous haute pression". P. Lalanne. 1998. Document
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chaude et fond du générateur de vapeur. T. Laporte. Rapport CEA/DM2S/SEMT/LM2S/RT/03-
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[3.4_14] http://www.nea.fr/html/jointproj/rosa.html.
- 63 -
CHAPTER 4 : PHENOMENA LIABLE TO INDUCE EARLY
CONTAINMENT FAILURE
4.1 DIRECT CONTAINMENT HEATING
4.1.1 DEFINITION, OVERALL PHENOMENOLOGY
In the event of a PWR severe accident resulting in core meltdown, a corium pool containing uranium
and zirconium oxides as well as non-oxidised metals (zirconium and steel) may form in the lower head.
If lower head rupture occurs, and vessel pressure exceeds containment pressure, corium is ejected
along with steam and, in some cases, the remaining liquid water. The ejected materials are sent first
towards the reactor pit (also called cavity), then towards the various containment compartments
linked to the pit. Depending on the level of pressure in the vessel, the ejection will finely fragment the
corium and disperse it outside the reactor pit. This is accompanied by very efficient heat exchange
between corium and gases, as well as oxidation of corium's metallic components, producing hydrogen.
The temperatures involved allow more or less rapid combustion of the hydrogen present at the time of
vessel rupture, combined with the hydrogen produced by oxidation. These processes lead to
overheating and pressurisation of the containment atmosphere, and may result in damage to the
containment building and loss of containment integrity. Collectively these phenomena are referred to
as “Direct Containment Heating” (DCH).
4.1.2 PHYSICAL PHENOMENA
High-pressure ejection of corium and steam out of the vessel is characterised by various stages: single-
phase liquid corium jet, two-phase corium and steam jet, gaseous steam jet. The duration of these
stages depends on the mass of corium relocated to the lower head, the sectional area and location of
the break, and the pressure in the reactor coolant system. Pressurised ejection initially causes
fragmentation of corium into liquid droplets. A flow of steam and corium through the cavity is then
established. This very complex flow is strongly influenced by the pit geometry. It is also subject to
various phenomena (Fig 4.1-1): projection of corium onto the pit walls and formation of a liquid film
along these walls, entrainment and fragmentation of the film by the flow of steam and formation of
corium droplets, coalescence and/or fragmentation of these droplets, etc. As a result, part of the
corium is entrained by the steam into the areas adjoining the pit, whereas a portion remains trapped in
it. During this entrainment phase, the steam and the droplets interact thermally and chemically.
Consequently, steam temperature and cavity pressure increase considerably. Hydrogen is produced by
the exothermic reaction between the corium metals and steam. However, hydrogen combustion is not
possible in the cavity because its atmosphere contains little oxygen which is swept out by the steam
flow. When hot gases and corium particles enter in the containment, they contribute to the
overheating and rapid pressurisation of its atmosphere. The larger the mass of corium dispersed and
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the finer its fragmentation, the larger the increase in heat transfer and containment pressure. The
distribution of corium in the various containment areas and the duration of discharge also play an
important role in the degree of pressurisation. Moreover, when the extremely hot gases and corium
particles enter the containment, they will provoke more or less rapid and complete hydrogen
combustion. This combustion is very complex because it combines the characteristics of a diffusion
flame (the flow causes a jet of corium and hydrogen and the entrance sections of the containment)
with the characteristics of a premixed flame (combustion of the initially present hydrogen). It will
increase the pressure spike in the containment if the characteristic combustion times are close to
those of corium discharge and dispersion. Furthermore, determining characteristic combustion times is
complicated by the complex nature of combustion during DCH.
Figure 4.1-1: Physical phenomena during direct containment heating
Gas and melt
ejection Jet fragmentation
Jet impact
Hydrogen
combustion
Dispersion
Heat and mass transfers
between particles and gas
or walls
Oxidation
Melt particle entrainment
Melt particle intrapment
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4.1.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES
One of the ways to investigate DCH phenomena is to perform tests on mockups, which provide small-
scale reproduction of the main geometrical characteristics of reactors. Based on the results of these
tests, models and correlations are developed for simulation software, which is then used to study
reactor-scale phenomena.
4.1.3.1 Major experimental programmes
Numerous experimental programmes have been developed to study DCH phenomena [4.1_1]. Only the
main tests, which fall into three categories, are presented below:
Simulator tests at low melting temperatures (dynamic aspects)
These experiments focus specifically on the dynamic aspects of DCH. They are separate effects tests
aimed at characterising corium dispersion and establishing correlations for entrainment of corium
droplets out of the cavity towards the containment and the adjacent compartments. These correlations
are a function of the experimental parameters, which generally include the size of the lower head
break, vessel pressure, and physical properties of simulant materials and the carrier gas exiting the
vessel. Several cavity geometries have been studied and various simulant materials have been used for
this type of test: water, oils, Wood's metal, gallium. The advantage of these last two metallic alloys is
that they possess properties (density, viscosity, surface tension) similar to those of corium. The key
results of these tests are characteristic melt times and the distribution of the dispersed material, as
well as the pressure changes over time in the vessel and the cavity. In the late 1980s and early 1990s,
several tests were conducted on mockups of American reactors at scales varying from 1:40 to 1:25
[4.1_2]. Two types of geometry were analysed. The Zion reactor is representative of the first type. Its
geometry is referred to as “closed”, with no direct pathway towards the dome (there is an indirect
pathway between the cavity and the dome via an instrument tunnel leading to the intermediate
compartments). The Surry reactor is representative of the second geometry, referred to as “open”:
there is a direct pathway towards the dome, via the annular section around the vessel. This geometry
is closer to that of French reactors. In the closed geometry (Zion), a substantial fraction of simulant
material remained trapped in the intermediate compartments, allowing only a small quantity to enter
the containment. In 1997, KAERI (South Korea) conducted a test campaign for the IRSN. These tests
were the first to study the phenomenon in a geometry close to that of a French 900-MWe reactor, at a
scale of 1:20 [4.1_4]. What makes this geometry unusual is the existence of a major, direct pathway
between the cavity and the containment via the annular section. These tests showed that, for the case
of water, when vessel pressure is above 1.5 MPa, 80% of the simulant material is entrained through the
annulus, then evacuated towards the containment. In contrast, at pressures below 0.2 MPa, more than
90% of the simulant material remains in the cavity. These tests were limited to water as the simulant
material. More recently, tests were conducted at the FZK in Germany, using the DISCO-C facility, which
represents the EPR cavity at a scale of 1:18, with a direct pathway from the cavity to the containment.
These tests were aimed at studying corium dispersion at vessel pressures below 1.5 MPa and how the
mode of lower head rupture (break in the centre, lateral break or partial unzipping and tilting of the
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lower head) affected the dynamics of simulant material ejection ([4.1_6]. These tests also showed that
a greater mass of material was dispersed in cases of central vessel breach. Since these tests, the EPR
geometry has evolved, and does not include a direct pathway between the cavity and the containment.
Figure 4.1-2: DISCO-C test representing P’4 geometry
Recently, the DISCO-C facility was modified to enable study of dispersion phenomena for the geometry
of P’4 reactors (Figure 4.1-2). The cavity is largely deeper than that of the EPR system, and there are
three possible outlets, leading respectively into the containment, the compartments and the cavity
access corridor. For this type of cavity, a smaller fraction of material is dispersed via the annulus
(60%), since a substantial portion of the fuel (~30%) is trapped in the access corridor [4.1_7]. It should
also be noted that of the 60% ejected, around 1/3 goes directly towards the dome; the rest moves
towards the compartments.
Simulator tests at high melting temperatures (thermal and chemical aspects)
In addition to the dynamic aspects, these tests provide insight into heat exchange phenomena and, to a
lesser degree, chemical interactions. The simulant material used for this type of test is a mixture of
iron and alumina (Al2O3), the product of a thermitic reaction. Many of the tests have been conducted in
the United States, mainly by Sandia and Argonne National Laboratories (SNL and ANL respectively).
They involve two types of geometry (“closed” for Zion and “open” for Surry) and various experimental
conditions. For the closed geometry (Zion), the integral effects tests confirmed that the intermediate
compartments retained 90% of the simulant material and that containment overpressure was due solely
to the ejection of hot gases out of the vessel, and was thus very limited.
In addition to the DISCO-C facility, the FZK also has another facility, DISCO-H, specially designed for
simulant tests at high melting temperatures. The EPR and P’4 geometries were studied for vessel
pressures varying from 0.7 MPa to 2.5 MPa. For the P'4 geometry, the compartment effect seemed to
play an important role, and only the fraction dispersed directly into the containment seemed to have a
measurable impact on containment heating. For reasons not yet elucidated, a substantial portion of
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the fuel moves towards the subcompartments. The small size of these compartments lowers heat
transfer efficiency, which strongly limits pressurisation [4.1_5].
The impact of the presence of water, either in the cavity or directly in the vessel, has been summarily
studied in the United States. In the three CES tests (Surry open geometry, [4.1_3]), the corium
simulant started off in the lower head, and water or steam was ejected from the vessel, which was
first pressurised to 4—8 MPa by a break 4 cm in diameter (1/10th scale). According to the findings,
water that was initially saturated (thus undergoing flash vaporisation as it left the vessel) had no
particular impact. For water at 300 K (does not vaporise following depressurisation), a considerable
reduction (30%) in the pressure loads was observed. In these tests, around 60% of simulant material was
dispersed towards the containment dome via the annulus. Several tests were conducted by adding a
small quantity of water to the cavity (IET and WC tests), which did not produce a significant impact
either.
Very early on, the chemical phenomena of oxidation and combustion were recognised as potentially
having a major impact. The first significant experiments to focus on these effects have been the IET
tests for the two geometries. The initial concentrations of hydrogen (in the containment) were on the
order of 2%—3%. This always produces very intense oxidation. The level of combustion is around 70%,
producing a two- or three-fold increase in pressure (Figure 3.4-3).
Figure 4.1-3: Impact of combustion on pressure levels in IET tests (SNL)
The DISCO-H tests conducted by the FZK (EPR and P'4 geometries) have confirmed earlier findings as to
the role of combustion, which appears critical. In these tests, high initial levels of hydrogen increase
the likelihood of complete reaction. Burnup is on the order of 80% for initial hydrogen levels of 4.5%—
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6%. Combustion characteristics remain rather vague, and modelling burnup as well as combustion
kinetics is a key challenge.
Tests using real materials
These tests are a precious source of information because they constitute a first step towards
extrapolating dynamic, thermal and chemical aspects to reactor scenarios. Following IET tests using
thermite, similar experiments were conducted with a mixture of UO2, Zr, ZrO2, Fe and Cr at the
COREXIT facility (1/40th scale mockup of the Zion reactor) in order to demonstrate the effect of using
real materials in place of thermite. The tests showed that low vessel pressure (0.3 MPa and 0.4 MPa),
together with the mixture's low specific energy (~1.2 MJ/kg for real corium vs. 2.7 MJ/kg for thermite)
and its higher melting point, result in reduced pressurisation of the dome compared with results from
the same tests conducted with thermite in alumina (0.11 MPa for U1B vs. 0.15 MPa for IET-1RR).
However, hydrogen production was higher, by around 20% in moles. This outcome is related to
substantial quantities of metals which are more reactive (Zr). Furthermore, tests with real corium
indicate that pre-existing hydrogen in the dome does not burn as rapidly as hydrogen produced by DCH,
a finding supported by tests with simulant corium.
4.1.3.2 Modelling and simulation codes
Two classes of codes exist:
• 0-D “parametric” codes (MAAP, CONTAIN, RUPUICUV), which uses simple models and offers broad
flexibility for input data; generally included in integral codes.
• “Mechanistic” codes for multidimensional multiphase simulation (AFDM and MC3D), which is
important for interpreting experiments, understanding various phenomena and developing simple
models.
4.1.3.2.1 Parametric models
Parametric models are not aimed at studying and understanding phenomenology, but they do reflect
the level of knowledge for a given process.
Using the DCH module of the American code CONTAIN ([4.1_9]), it is possible to describe corium debris
transport, the flows between containment building compartments, debris trapping by various
structures, chemical reactions (corium oxidation), heat transfers between debris and the atmosphere
(through convection or radiation) and combustion of hydrogen produced by DCH as well as pre-existing
hydrogen. This 0-D code is by far the most advanced of its kind, offering an impressive collection of
computational options and backed by a solid qualification database. However, validation was limited to
American reactors with Zion and Surry geometries, and recent use of the codes by the GRS for DISCO
tests on EPR and P'4 geometries did not produce satisfactory results. This may also be due to the code's
complexity: due to the many options, it requires a high level of expertise. The DCH module of MAAP is
based on the correlation known as Kim (KAERI) and used to assess the total fraction of corium dispersed
as a function of initial state (vessel pressure and break diameter). The droplets are assumed to be in
dynamic and thermal equilibrium with the gases. The distribution of droplets between the various
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cavity outlets thus depends on gas flowrates. Only steam is consumed by oxidation of the dispersed
corium droplets (Zr, Cr, Fe and Ni successively). Neither the oxygen in the air nor the oxidation of
spread corium is taken into account.
The ASTEC code assesses pressure loads during DCH using the RUPUICUV, CORIUM and CPA modules.
The cavity phenomena are addressed by the RUPUICUV module ([4.1_8]). The total dispersed fraction is
given by a correlation developed by the KAERI based on their tests with the 900-MWe geometry (similar
to the Kim correlation used in MAAP). The droplets are assumed to be in thermal equilibrium with the
gas in the cavity, but containment heat exchanges are assessed using simple convection models.
Beyond a threshold temperature, steam oxidation of corium metals becomes possible, producing
hydrogen and heat. Pressure and temperature loads as well as hydrogen combustion are also modelled.
4.1.3.2.2 Simulation codes
The IRSN and the FZK have decided to use multiphase thermal-hydraulic simulation codes to enhance
knowledge and facilitate the development of simple models, at the same time enabling extrapolation
to other scales, materials or reactor types.
AFDM is a fluid dynamics code currently used by the FZK. Initially developed for safety analyses of Fast
Breader Reactors, it was a precursor to the SIMMER III code. Physical DCH models have been added to
AFDM, including the model for the exothermic reaction between metals and steam or oxygen, and the
parametric model for hydrogen combustion in the containment ([4.1_10]). The code also addresses
entrainment and formation of corium films on the cavity walls, the thermal exchanges between the
films and the walls, and crust formation. Unfortunately, the code is limited to 2D geometry
(axisymmetrical). Promising results have been attained for DISCO experiments.
MC3D is a multiphase thermal-hydraulic code developed by the IRSN and the CEA. It is mainly used for
assessing pressure loads during a steam explosion (see Section 4.3.3.1), but it can also be used to study
a number of multiphase phenomena, including DCH. The defining feature of this code is its detailed
description of corium: the droplet field (dispersed corium) is separate from the “jet” field (continuous
corium) (see Figure 4.3-6). A detailed model of fragmentation and coalescence allows the fuel to move
from one field to another. A parametric model of oxidation exists, but as of this writing, it does not
address combustion. The latest modifications to the code, making it possible to use several
incondensable gases, should correct this shortcoming. MC3D also enables three-dimensional
assessment, which means the complex geometries of French reactors can be taken into account. As an
example, Figure 4.1-4 shows a representation of reactor geometry (simplified P'4) as well as the results
for dispersion via the annulus, as a function of vessel pressure. Providing more than simple direct
comparison with a few experimental points, the code makes it possible to study functional dependence
on parameters such as vessel pressure. For the conditions described in Figure 4.1-4, the code makes it
possible to predict a dispersion threshold pressure of around 5 bar.
It would also be quite natural to study with MC3D water's impact, given that the code's primary purpose
is to study interactions between corium and water.
- 70 -
Figure 4.1-4: 3D geometry from MC3D analysis of P'4 DISCO tests, and assessment of the fraction dispersed towards the top of the pit (water as simulator and break diameter of 60 mm)
4.1.4 SUMMARY AND OUTLOOK
The experimental database shows that the consequences of DCH are essentially related to cavity
geometry, and to the pathways between it and other containment areas. In particular, it is now widely
accepted that the consequences of DCH are limited in reactors with no direct pathway between the
cavity and the containment dome. In contrast, the situation is less clear for reactors which do have a
direct pathway between the cavity and the containment; tests show that substantial fractions of
corium may be dispersed into the containment in such cases if pressure in the reactor coolant system is
elevated at the time of DCH.
Combustion of the hydrogen produced by oxidation as well as the hydrogen initially present appears to
be the dominant phenomenon for containment pressurisation. It should be noted that DCH oxidation is
difficult to extrapolate to reactor scenarios based on tests with simulant materials, which are much
less reactive than corium components, especially zirconium. It is also difficult to draw conclusions as to
how hydrogen combustion affects the loads generated by DCH. The effects of scale may also be
important.
As to DCH modelling, it has proven complicated; the complexity and diversity of the phenomena
involved do not lend themselves to simplified modelling. Multiphase simulation code appears to be the
most promising option, but existing solutions are not yet able to satisfactorily predict outcomes on a
reactor scale, due to problems modelling oxidation and combustion in particular.
The impact of water in the cavity has not really been characterised either; a better understanding is
needed. For this point as well, simulation code such as MC3D may provide new insight.
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In conclusion, the IRSN believes that current programmes of analysis should be pursued to bridge the
gaps in knowledge. In particular, dedicated tests for studying hydrogen behaviour during the DCH phase
are planned. At the same time, the IRSN recommends using numerical simulation codes (MC3D and
AFDM) to compensate for the lack of data and to allow extrapolation to reactor scenarios.
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4.2 HYDROGEN RISK AND MITIGATION STRATEGIES
4.2.1 HYDROGEN RISK — BACKGROUND
For the purposes of PWR severe accident studies, hydrogen risk is defined as the possibility of losing
containment integrity in a reactor, or its safety systems, as a result of hydrogen combustion. The
hydrogen is mainly produced by oxidation of cladding zirconium and fuel element structures during the
core degradation phase, and oxidation of metals present in the corium pool or in the basemat during
the molten corium-concrete interaction phase. This hydrogen is transferred into the containment (and
transported therein) by convection loops arising essentially from condensation of steam released via
the RCS break or during corium-concrete interaction. Depending on mixing in the containment
atmosphere, the distribution of hydrogen is more or less homogeneous. If considerable hydrogen
stratification exists, local concentrations of hydrogen may become substantial, exceeding the lower
flammability limit for the gas mixture. The distribution and concentration of hydrogen in the
containment building may also be modified by its spray systems. Spraying does homogenise the
distribution of hydrogen in the containment and lead to “de-inertisation” of the mixture through the
condensation of steam on water droplets. Systems such as recombiners and igniters can be installed in
the containment building to avoid accumulation of hydrogen in part or all of the structure.
4.2.2 OVERALL PHENOMENOLOGY AND PROBLEM AREAS
Once released into the containment atmosphere during a severe accident, hydrogen is initially
composed of air and steam. At that point in time, there is convective motion in the atmosphere as a
result of the previously injected steam and its condensation on cold surfaces. The hydrogen will play a
role in reinforcing the effects of gravity, due to its low density, and in altering condensation on the
walls by increasing resistance to steam diffusion. Convection may thus be altered, and the key question
is whether the entire contained volume is set in motion as a result. If so, since the characteristic
mixing time for hydrogen and air is brief, atmospheric homogeneity is likely other than in zones close
to the point of injection and the walls. If not, only part of the contained volume — in all likelihood, the
upper part — undergoes mixing, and homogenisation with air first occurs there. If limited in size, this
zone may contain a mixture relatively rich in hydrogen. The hydrogen will then undergo migration, for
which the characteristic time is longer (several hours for the geometric dimensions postulated) towards
the dead zones most likely situated in the lower regions. Here, the gas mixture will incorporate
hydrogen, but hydrogen levels will never exceed those in the homogeneous zone.
The flammability of the containment gas mixture depends on its temperature, pressure and
composition, as well as the ignition mode. However, in practice, the point representing the mixture's
composition (hydrogen, air, steam) on the Shapiro diagram (see Figure 4.2-1) is used to determine
whether the mixture is flammable. In this diagram, the zones of ignition and detonation are
respectively delimited by the exterior and interior curves. These limits are dependent on temperature
and pressure. The detonation limit is not an intrinsic characteristic of the gas mixture; it is only valid
for the geometry in which it is obtained.
- 73 -
Figure 4.2-1: Shapiro diagram for hydrogen-air-steam mixtures
In a mixture known to be flammable, combustion may be initiated by an energy source of a few
millijoules. Consequently, in the presence of electrical power sources, if there is actuator switching
and hot points develop, it appears probable that ignition would occur rapidly once the combustion zone
is entered. In contrast, a much more powerful energy source (at least 100 kJ) is required to trigger a
stable detonation. This explains why direct detonation can be ruled out for practical purposes; the only
mechanism considered likely to provoke detonation is flame acceleration and the deflagration-to-
detonation transition. In fact, under the effect of hydrodynamic instabilities and turbulence (caused
primarily by obstacles in the flame's path), an initially laminar deflagration (with a flame velocity
around 1 m/s) may accelerate. Fast combustion regimes may also develop, involving rapid deflagration
(a few hundred m/s), deflagration-to-detonation transition (DDT) and detonation (over 1000 m/s).
These explosive phenomena pose the biggest threat to the mechanical integrity of the containment
walls, because they can produce very large dynamic loads locally.
Based on their understanding of the mechanisms involved, researchers have developed prerequisite
criteria, i.e. conditions required for the various combustion modes. There are two types of criteria:
• The “σ” criterion related to flame acceleration. The σ quantity is the mixture's expansion
factor, a ratio of fresh and burnt gas densities at constant pressure. It is an intrinsic property
of the mixture in question. The critical value σ*, beyond which flame acceleration is possible,
depends on initial gas temperature and flame stability. It is based on the results of numerous
experiments at various scales and in various geometries.
• Similarly, prerequisite conditions have been defined for characterising the transition between
deflagration and detonation regimes (DDT). They are based on comparing a characteristic
dimension of the geometry with detonation cell size. This comparison, notated as λ,
characterises mixture sensitivity.
These criteria were defined for homogeneous gas mixtures, and understanding the effect of
concentration gradients is one of the objectives of the ENACCEF programme. Nonetheless, these
criteria, together with the analysis of hydrogen distribution in the containment building and the
- 74 -
facility's geometry, can be used to identify potentially dangerous situations (i.e. combustion possible;
associated loads must be assessed). To apply these criteria, however, the codes used to calculate
hydrogen distribution in the containment must be validated based on situations representative of
severe accident conditions; this has been the aim of experimental programmes on hydrogen
distribution in recent years.
4.2.3 EXPERIMENTAL PROGRAMMES
4.2.3.1 Hydrogen distribution
Hydrogen distribution in the containment building is controlled by the coupling of complex physical
phenomena, such as:
• Flows at the point of gas injection and transport within the containment of chemical species
such as hydrogen and steam
• Natural convection resulting from temperature differences between the atmosphere and the
walls, and density differences between the various gas species present
• Steam condensation on the walls and internal structures of the containment building
• Mass and thermal stratification of gases
• Flow diffusion and turbulence
• Dynamic effect of spray droplets on flow; condensation on spray droplets
There are numerous analytical experiments focusing on these phenomena in isolation. Regarding
condensation, for example, the experiments of Dehbi on natural convection, and those of Tagami,
Uchida and Huhtiniemi on forced convection, have enabled the development of global models.
However, the resulting correlations are more or less dependent on test conditions and geometry. There
have been large-scale global experiments in addition to the analytical tests because the various
phenomena governing hydrogen distribution are strongly coupled. A state-of-the-art report on
containment thermal hydraulics and hydrogen distribution was completed in 1999 under the auspices of
the OECD by a group of international experts (including IRSN experts) ([4.2_1]). It describes all the
experiments (HEDL, HDR, BMC, NUPEC) conducted since the early 1980s. In most cases, these were
large-scale global experiments with limited control of boundary conditions and limited
instrumentation. They are not designed to validate multidimensional computer codes and can only be
used to validate 0D codes.
To correct this shortcoming, better-equipped facilities have been constructed in recent years. These
dedicated structures can be used to validate multidimensional, multicompartment computational tools.
PANDA, ThAI, TOSQAN and MISTRA are examples of such facilities.
4.2.3.1.1 PANDA programme
The PANDA facility, located at the Paul Scherrer Institute in Switzerland, was initially designed for
analysing containment thermal hydraulics in boiling-water reactors. It consists of four interconnected
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compartments with a total volume of 460 m3. Recently, as part of the OECD SETH project, tests were
conducted (most without condensation) on two compartments — a total volume of 180 m3 — using
instrumentation specially designed to capture structural differences in flow with a view to validating
multidimensional codes ([4.2_13]). The test grid for this project addresses flows resulting from a
lateral or central injection of steam and/or helium, plume interaction with the wall, the impact of an
opening on gas distribution, etc. The PANDA facility makes it possible to study complex flows.
However, the lack of control over wall temperature makes it difficult characterise condensation in
detail.
A new experimental programme, SETH-II, is under development with support from the OECD. Involving
both the PANDA and MISTRA facilities, this programme is aimed at collecting additional data on
transient flows having various physical mechanisms and the potential to erode stratified environments.
4.2.3.1.2 ThAI programme
The ThAI facility, situated in Germany, is dedicated to analysing phenomena associated with hydrogen
risk, iodine chemistry, and the transport and deposition of aerosols in PWR containments. It has a
containment of 60 m3 and an internal structure with multiple compartments. The outside walls of the
containment are thermally insulated. With regard to hydrogen risk, the ThAI facility is designed for the
study of hydrogen distribution and combustion, and the characterisation of catalytic recombiners. From
1998—2002, the facility was used to conduct thermal-hydraulic tests, one of which was used for ISP-47
([4.2_3]). In that test, stratification of the gas mixture (air, helium, steam) was achieved by injecting
helium and steam in the upper part of the structure. The lateral, low-momentum plume of steam then
injected into the lower section was unable to bring about mixing in all areas of the compartmentalised
atmosphere and thus did not homogenise the gas mixture.
A series of tests on distribution and characterisation of recombiners is currently in the design phase
and may be carried out as an OECD project.
4.2.3.1.3 TOSQAN programme
The TOSQAN facility, designed and operated by the IRSN, consists of a cylindrical steel vessel with an
internal volume of 7 m3 (not including the sump). Instrumentation for the gas volume includes devices
for measuring pressure, temperature, concentration of gas species (by mass spectrometry and
spontaneous Raman scattering) and velocity (laser Doppler velocimetry, LDV, and particle image
velocimetry, PIV). Characterisation of water droplets dispersed by the spray system focuses on size
(interferometric laser imaging for droplet sizing), velocity (laser velocimetry) and temperature (global
rainbow refractometry). The test programme is centred on the themes of condensation, spraying,
interaction between the sump and the atmosphere within the containment, and wash out of aerosols
([4.2_11]).
Condensation tests, one of which was used for ISP-47, have been completed. They investigated steady-
state conditions with and without helium. In the test used for ISP-47, helium added to the steam
injection is initially distributed homogenously in the upper part of the structure (above the injection
point). This is where the main convection loop is situated. An instability then develops (fluid heated by
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walls in lower areas), accelerating the usually slow phase of lower containment enrichment by creating
movement throughout the atmosphere and thus a homogeneous mixture. Under steady-state
conditions, the atmosphere is homogeneous.
With regard to spraying, the tests with off-centre spray nozzles have been completed and those with
centred nozzles are underway. These tests are part of an international benchmarking effort organised
by the SARNET network. Test campaigns addressing the atmosphere-sump interaction and aerosol wash
out are currently in the design phase.
4.2.3.1.4 MISTRA programme
The main objective of the CEA's MISTRA programme is to study condensation on the walls and the water
droplets (from spraying) in a geometry larger than that of TOSQAN and with the possibility of
compartments ([4.2_12]). The MISTRA facility includes a containment of 100 m3 (diameter: 4.25 m,
height: 7 m), constructed of stainless steel, thermally isolated, and equipped with three internal
condensing surfaces which are thermo-regulated. The instrumentation includes devices for measuring
pressure, temperature, gas concentration and velocity (laser Doppler anemometry). These instruments
can be used to qualify multicompartment codes, multidimensional codes and their coupling.
Condensation tests, one of which was used for ISP-47, were carried out for steady-state conditions with
centred and off-centre injections, in open and compartmentalised configurations. With regard to the
test used for ISP-47, in which helium was added to the main steam flow, the results are similar to those
for the TOSQAN test. Initially there is a homogeneous atmosphere in the containment area affected by
the main convection loop. Below the point of injection, helium concentration increases slowly until
complete homogenisation of the containment is achieved (around three hours). The mixing observed
throughout the atmosphere in TOSQAN does not occur because the lower containment is colder than
the other areas (stable configuration). The impact of spraying on concentration distribution is currently
being studied, using the same geometrical configurations as for the tests on condensation.
To develop computer code use in the reactor building, the IRSN and the CEA are currently analysing
scale effects for TOSQAN and MISTRA. This analysis will verify whether models developed and validated
from small-scale tests can be used to predict hydrogen distribution in reactor containments.
PANDA/MISTRA is a collaborative test programme on transient phenomena which homogenise initially
stratified containments. It has been presented to the OECD.
4.2.3.2 Hydrogen combustion
As is the case for hydrogen distribution, several experimental programmes have focused on propagation
of premixed hydrogen flames. The objective of these tests is twofold: 1) characterise the transition
between slow and fast regimes, and between deflagration and detonation; and 2) produce a database
to validate computer codes. There are two types of test campaigns:
• Analytical tests using spherical bombs, for characterising laminar flames and building a
database for establishing prerequisite criteria for flame regimes.
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• Dedicated tests for studying turbulent flames; can be used to validate computer codes and
establish prerequisite criteria for characterising flame regimes.
As is the case for hydrogen distribution, a state-of-the-art report on flame acceleration and
deflagration-to-detonation transition was produced in 2000 by a group of international experts
(including IRSN experts) with support from the OECD ([4.2_6]). This report provides a description of the
major experiments (BMC, NUPEC, VIEW, HTCF, FLAME, RUT, etc.) focusing on flame acceleration and
detonation. The transition criteria for the various combustion regimes are based on tests conducted in
these facilities. These criteria have been further developed through the European project HYCOM and
the ENACCEF programme. This report also surveys the state of the art in combustion models.
4.2.3.2.1 RUT experimental programme
The RUT facility, located in Russia, has a total volume of 480 m3 and a total length of 62 m. Initially
designed for military applications, the facility consists of three parts: one channel which is completely
rectilinear, a second channel which is curved at one end and a “canyon” or cavity in the intermediate
area. All three zones have a rectangular cross-section and may eventually be blocked by obstacles. This
geometry can be used to study monodirectional flame acceleration in the channels as well as more
complex 3D effects or interactions in the canyon. To the best of our knowledge, it is the only facility of
its size used to study turbulent hydrogen combustion and thus the only one subjected to pressure loads
that can be transposed to reactor scenarios. There is an effort at RUT to use mixtures representative of
severe accident conditions in the containment building. These mixtures contain hydrogen, air and
sometimes a diluent (steam). The instruments used are well suited to validating CFD codes ([4.2_7]).
The various test campaigns at RUT have investigated the following combustion regimes:
• Slow deflagration: Characterised by flame velocities below the speed of sound in fresh gases,
and by pressure levels below the adiabatic isochoric complete combustion (AICC) pressure.
• Fast deflagration: Characterised by flame velocities close to the speed of sound in burnt gases,
and by pressure levels above the AICC pressure; the term “choked flame” is used in this case.
• “Critical” regimes: In cases of deflagration-to-detonation transition (DDT), but where the
resulting detonation does not spread or is not directly transmitted to the entire mixture.
• Stable detonation: Forms after DDT in one area of the facility; characterised by velocities and
pressure peaks close to Chapman-Jouguet values (CJ) and propagated to the rest of the fuel
mixture.
One of the objectives of the various programmes at the RUT facility has been to establish and validate
the σ and λ criteria (defined in Section 4.2.2). The IRSN and the FZK have helped define and finance all
tests performed at RUT.
4.2.3.2.2 HYCOM, a European programme
The European programme HYCOM was a continuation of the first RUT tests. It was aimed at studying
flame acceleration in hydrogen-air mixtures and particularly at validating the σ criterion ([4.2_10]).
The effect of burnt gas expansion (piston effect) and the impact of compartmentalisation were studied
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using the RUT facility; the impact of venting was studied using the DRIVER and TORPEDO facilities,
which each consist of a cylindrical tube respectively 174 mm and 520 mm in diameter and 12.2 m and
12.4 m in length.
The IRSN actively participated in this programme with EDF's support. HYCOM also entailed an analytical
component (full-scale benchmark exercise based on EPR geometry).
4.2.3.2.3 ENACCEF programme
The ENACCEF programme (flame acceleration) was carried out by the CNRS for the IRSN and, during its
initial years, EDF. Its primary goal was to validate the σ criterion using tests conducted on a vertical
structure representing an SG bunker opening into the dome ([4.2_2]). The bottom half of the ENACCEF
facility consists of an acceleration tube. This tube is cylindrical with a diameter of 168.3 mm and a
height of 3.2 m. It may be equipped with obstacles having various blockage ratios and forms, and may
contain an obstacle simulating an SG with a volume of 11.12 litres. The upper half consists of an
adjustable dome whose volume can vary from 780.9 litres to 957.8 litres. ENACCEF instrumentation
includes photomultiplier and pressure sensors to measure the progression of the flame front and the
pressure generated throughout the test facility. Gas sampling points are situated at various levels to
measure the composition of the gas mixture in the facility. LDV and PIV techniques are also used to
measure the flow velocity field before the flame passes. The ENACCEF facility is therefore highly
instrumented and particularly well equipped to validate CFD codes. The effects of dilution, ignition
point location as well as the bulk and non-uniformity of the mixture have been studied, allowing
refinement of the σ criterion developed through the RUT and HYCOM programmes and providing data
for the validation of CFD codes. The impact of water droplets on flame propagation is also being
investigated at this time.
4.2.3.3 Mitigation systems
Catalytic recombiners serve to reduce hydrogen levels in the containment during an accident. They are
usually constructed using catalytic materials (platinum and palladium on alumina) and housed in a
metallic structure whose purpose is to optimise the circulation of gases in contact with the catalyser
(bed of beads or row of vertical plates). The behaviour of recombiners in situations representative of
severe accidents has been the object of several test programmes, conducted primarily by
manufacturers (Siemens, AECL, etc.) ([4.2_5]).
The H2PAR programme, conducted by the IRSN with support from EDF, aimed mainly to verify that
catalytic hydrogen recombiners continue to function in an atmosphere representative of severe
accidents and containing several chemical compounds in aerosol form (risk of catalyser poisoning)
([4.2_4]). This programme also investigated the risk of recombiner-initiated combustion and
determined thresholds for the specific recombiner studied. The impact of various parameters on
recombination performance was also analysed, including geometric parameters (number of catalytic
plates, height of stack location), physical parameters (molar fraction of hydrogen) and chemical
parameters (several catalytic plates replaced by neutral chemical plates) ([4.2_14], [4.2_15]).
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The KALIH2 test programme, conducted by the CEA with support from EDF, had similar objectives. It
evaluated the effects of the following on recombiner performance: humidity, smoke from cable fires,
and carbon monoxide ([4.2_8], [4.2_9]). Unlike H2PAR, KALIH2 made it possible to study the impact of
overpressure on recombiner efficiency.
4.2.4 MODELLING AND SIMULATION CODES
The codes used to predict hydrogen distribution in the containment building have traditionally been
based on a multicompartment approach. Amongst others, CONTAIN, MAAP, GOTHIC, MELCOR,
COCOSYS, the CPA module of the ASTEC code and the multicompartment module of the TONUS code
are all based on this approach. These codes have demonstrated their capacity to calculate hydrogen
distribution, as well as their limits, in small- and large-scale experiments, with or without the use of
spray system. They do however require a special dataset to be able to predict all the potential flows in
a reactor, particularly in volumes where concentration gradients may exist (stratification, jets, etc.).
Codes based on a multidimensional approach, like the multidimensional module of TONUS or the
GASFLOW code developed by the FZK, correct this shortcoming. However, use of these codes is limited
by the geometrical complexity of containments and by the costs involved, which may be prohibitive
due to current computational tools. As a result, coupling the two approaches, as the TONUS code does,
is currently the best compromise between precision and cost.
The recent computer code exercises (ECORA and ISP-47), based on the experimental results of the four
programmes mentioned above, have led to the following conclusions.
The ECORA exercise (gas injection transient without condensation), which only used CFD tools, showed
that the main limitation was the computing resources required for analysing large-scale transients. The
prohibitive costs are an obstacle to best practices (mesh convergence and sensitivity, impact of time
step and time order of the numerical scheme, etc.). However, the models used in ECORA made it
possible to accurately predict steam transport between the compartments, which was one of the key
points of this exercise.
Regarding ISP-47, this exercise focused on multicompartment, multidimensional tools. Moreover, since
several institutes use the same tools, there was better assessment of the user effect. The final
conclusions are in the process of being drafted, but the following points can be mentioned:
• The CFD tools, rarely used for this type of exercise in the past, did not show any advantages
compared with multicompartment tools. For the TOSQAN and MISTRA tests used in ISP-47, this was
due to the relatively simple flow structures.
• The results obtained with the multicompartment tools showed strong user-dependent variability.
Best practices should thus be implemented (this recommendation is valid for CFD codes that use
correlations [condensation, recombiners]).
• Concerning simulation of stratification, there was only one contribution in which a
multicompartment tool successfully predicted that stratification would be maintained in the ThAI
test during steam injection into the lower area, and this tool belonged to the user who designed
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the experiment. Furthermore, questions were raised as to the exact specifications of both steam
injection and the lower containment structures, which might play a role in steam jet deflection.
• The “blind” exercises, important for assessing the predictive aspect of the codes, produced a wide
array of results.
• Modelling of wall condensation requires complementary studies, especially regarding the effect of
helium on spatial distribution.
• Scale effects remain an open issue.
• Finally, the need for experimental data adapted to multidimensional code validation was apparent
for transient flows. The PANDA-MISTRA SETH-II project was developed with this goal in mind.
Additionally, loads generated by hydrogen combustion can be calculated using computer codes based
on multicompartment or multidimensional approaches. In general, multicompartment codes are limited
to slow flame analysis for which pressure loads can be considered as static. Calculation of dynamic
pressure loads usually requires using CFD codes based on multidimensional approaches. For example,
the HYCOM project produced very complete results with regard to hydrogen combustion in reactor
containments and the modelling of this phenomenon. In particular, this project demonstrated the
following:
• Global values, such as maximal pressure, are relatively well reproduced by CFD codes and
multicompartment codes. However, CFD codes give better results for fast flames, whereas
multicompartment codes are better suited to slow flames.
• Differences exist between the various codes for “dynamic” values, such as flame velocity or
pressure increases.
• Certain phenomena observed experimentally, such as flame quenching, are not correctly
reproduced by the computer codes.
• Modelling heat loss is important and must be enhanced.
But above all, the HYCOM project highlighted the difficulties of modelling hydrogen combustion in
cases of non-homogeneous mixtures, especially when this non-uniformity is accompanied by a change
in the combustion regime. Although these conditions are the closest to real scenarios, they have not
yet been adequately modelled and require additional experimental data suited to code validation. This
is one of the objectives of the ENACCEF programme.
4.2.5 SUMMARY AND OUTLOOK
Research and development on hydrogen risk have produced a number of outcomes reinforcing the
decision to install specific mitigation systems in all French nuclear power plants. Studies of
representative accident sequences indicate that despite the installation of recombiners, it is difficult
to prevent, at all times and locations, the formation of a combustible mixture potentially leading to
local flame acceleration. The RUT and HYCOM programmes have produced criteria which, if respected,
would allow the risks of flame acceleration and DDT to be eliminated. The ENACCEF programme
outcomes will further develop these criteria.
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In order to better quantify the possible consequences of hydrogen combustion, complementary
research and development must be carried out in the near future. The necessary initiatives are as
follows:
• For hydrogen distribution, the study of transient flow regimes and those with stratification.
This area can be addressed by existing programmes, especially TOSQAN, PANDA and MISTRA.
• For combustion, studies of how water droplets affect hydrogen flame acceleration. This theme
will be addressed by the ENACCEF programme.
• For recombiners, studies of how recombiner location affects the rate of recombination as well
as flame ignition by the recombiners. These two themes are addressed by SARNET activities;
the first is the focus of a numerical study and the second, an experimental study based on
REKO tests.
• For hydrogen distribution in the computer codes, as demonstrated by the preliminary
conclusions of ISP-47, further development is needed to better represent condensation in the
presence of incondensable gases and stratification, and to describe the mechanisms of
destratification. The spray system benchmarking organised by the IRSN has demonstrated the
limitations of existing codes.
• For computer codes and hydrogen combustion, as demonstrated by the HYCOM outcomes,
enhanced and validated combustion models are needed to simulate flame propagation in non-
uniform environments, especially those with hydrogen gradients enabling transition between
flame regimes.
In conclusion, R&D efforts to date have already significantly enhanced understanding of the phenomena
governing the distribution of gas mixtures and their potential combustion. In particular, establishing
criteria based on experimental data has led to identification of potentially high-risk situations.
Regarding computational tools, although they have clearly reached a degree of maturity, their
predictive capacity must be reinforced by enhanced modelling (multicompartment calculations, for
which the results depend heavily on user expertise, for example) and/or overcoming computing
limitations, which currently make it impossible to respect all the rules of proper use (case of
multidimensional codes).
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4.3 STEAM EXPLOSIONS
4.3.1 DEFINITION, OVERALL PHENOMENOLOGY
The global phenomenology of steam explosions has been relatively well understood since the 1970s.
When there is contact between two fluids, and one (the fuel or “corium” from core meltdown;
henceforth these two terms will be used interchangeably) is at a temperature higher than the boiling
point of the other (the coolant), an explosive interaction may be triggered. This phenomenon involves
the unstable coupling of the two mechanisms illustrated below:
The ultra fine fragmentation of corium (sub-millimetric fragments) induces a transfer of energy to the
coolant and its vaporization, with a characteristic time smaller than the pressure relief one. This in
turn leads to high overpressure, followed by an explosive expansion which may damage surrounding
structures (pressures up to 1000 bar have been measured in the alumina KROTOS tests [4.3_1]).
The prerequisite condition for a steam explosion is simple contact between two fluids, but the most
high-energy situations are those in which the two fluids undergo coarse mixing prior to fine
fragmentation (hence the term “premixing”). In PWR reactor systems, such mixtures may form after
core meltdown, as corium relocates to the lower head (in-vessel explosion), and potentially in the
flooded cavity following vessel failure (ex-vessel explosion).
These conditions are not sufficient, and in many cases, systems in which fluids are in contact or
undergo mixing do not produce explosions. In these cases, there is only a coarse fragmentation
(millimetric or centimetric fragments) with a relatively slow energy transfer between corium and the
coolant, resulting in slow pressurisation of the system (TMI-2 scenario). In order for an explosion to
occur, there must be an “internal” triggering event (producing a so-called spontaneous explosion) or an
“external” event (shock) initiating fine fragmentation somewhere in the premixture, which is then
propagated throughout the rest of it. Such spontaneous or artificially triggered explosions have been
produced experimentally with the molten materials comprising PWR corium (Zr, ZrO2, Zr-ZrO2, UO2-
ZrO2, UO2-ZrO2-Zr).
In its most extreme form, the phenomenon is analogous to that of detonation; there is shockwave
propagation and the chemical processes are replaced by heat and mass transfer processes. But the
analogy is limited, and more or less realistic approximations are needed to construct analytical models
Energy transfer from the hot fluid to the cold fluid
through the fragmentation
Pressurization and relative flow between the
fluids, inducing fragmentation
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of detonation, which have very little potential for practical application. This explains the current use
of complex multiphase, multidimensional models to handle this problem.
The recent OECD SERENA programme (Steam Explosion Resolution for Nuclear Applications, 2001—
2005), brought together the leading steam explosion specialists. They evaluated current understanding
of the phenomenon and assessed computational capacities of the main dedicated codes solutions
([4.3_4]).
4.3.2 PHYSICAL PHENOMENA
In a PWR severe accident in which corium comes into contact with water in the lower head or the
cavity, the phenomenon appears to amount to a process of dispersion and fragmentation in two steps,
as shown in Figure 4.3-1. The first step involves premixing and creates the initial conditions of the
actual explosion (second step), which is characterised by three key mechanisms: fine fuel
fragmentation, energy transfer and the resulting pressurisation. The first mechanism is very dependent
on premixing conditions at the time of explosion, namely mixture composition, distribution of the
various phases (corium, liquid, gas) and the corium interface, including its temperature and its state of
solidification. Since it determines the initial conditions of the explosion, this step must be described in
detail.
Between the premixing and explosion steps, there is fine fragmentation, commonly referred to as the
trigger. These three phenomena are discussed in detail below.
Figure 4.3-1: Schematic diagram of the phases in a steam explosion
4.3.2.1 Premixing
The importance of premixing, which determines the initial conditions of the explosion, was clearly
demonstrated in the KROTOS experiments. Premixtures observed for alumina were very different than
those observed for corium (see Figure 4.3-2), producing widely varying explosion intensities (10 times
more energy released with alumina than with corium) ([4.3_1]). Since these tests, studies have mostly
focused on this phase. It is also likely that the capacity for spontaneous triggering depends on the
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premixing configuration. In all tests conducted to date, the data on the premixing of materials with
high melting points (> 2000 °C) have been mostly qualitative. This data is not sufficient to explain and
qualify the differences in behaviour observed. The second phase of the SERENA programme should
provide more detailed information (see section 4.3.3.2.2).
For analytical purposes, the premixture is assessed using multidimensional, multiphase thermal-
hydraulic codes (see Section 4.3.3). There are so many dynamic and thermal interactions in this phase
that it cannot be characterised in a simple manner.
Considerable R&D efforts are focusing on two key points, namely corium fragmentation and generation
of a void fraction, as presented below.
Figure 4.3-2: At left, alumina/water premixture (KROTOS-57). At right, corium/water premixture (KROTOS-58). Video camera, 24 frames/s. 10x20 cm window. Taken from [4.3_1].
4.3.2.1.1 Corium fragmentation
There are two stages of premixing; primary fragmentation, involving the continuous phase (typically a
corium jet), produces a first generation of droplets which will then undergo a secondary
fragmentation. This second stage continues until the size of the droplets is such that the instabilities
causing their division are sufficiently reduced.
Numerous studies have concentrated on primary fragmentation, including two relatively recent
publications in France ([4.3_2], [4.3_3]). The models described therein focus on fine fragmentation
(atomisation) acting directly on the jets. It is known that the jets may be fragmented by other
mechanisms, implying larger-scale instabilities and broader dispersion of corium as a result (Figure
4.3-3). These mechanisms are believed to cause the behaviour observed during tests with alumina in
the KROTOS facility ([4.3_1]), where the fragments filled the entire cross-section of the experimental
tube (see Figure 4.3-2). Secondary fragmentation was studied extensively into the 1980s, bringing to
light certain trends and fundamental characteristics. Nonetheless, applying this knowledge to
premixing only allows qualitative characterisation of the phenomenon. A complementary parametric
approach therefore seems reasonable.
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Figure 4.3-3: Instability/fragmentation via atomisation (left) and on a larger scale (right)
4.3.2.1.2 Void fraction
There is currently substantial uncertainty concerning the precise effect of the void fraction (gas phase
fraction) on the explosion. However, beyond a certain threshold, there is less of a chance that an
explosion will be triggered and escalate. Moreover, the void fraction must be correctly assessed to
understand the overall significance of the premixing calculations. This issue is much more complex
than it seems, mainly because of the extreme temperature conditions. The steam generation processes
of film boiling and radiation are still poorly understood. The flow configurations used, based on studies
of isothermal two-phase flows, are somewhat arbitrary. The presence of incondensable gas from
oxidation, or eventually the simple dissociation of steam, adds to the difficulty.
This results in a certain degree of disparity across the models, and this disparity is largely blamed for
the uneven computational results obtained during phase 1 of SERENA. In the absence of detailed
experimental data, the validity of the various models cannot be established with sufficient certainty.
Correctly evaluating the void fractions and their distribution is thus a critical challenge and one of the
major objectives of the SERENA phase 2 proposal, as described in Section 4.3.3.2.2.
4.3.2.2 Triggering
The phase during which the explosion is triggered is undoubtedly the most complicated to study. As
there is currently no reliable model for predicting the time and location of this phenomenon,
quantification of its probability based on physical parameters is also unavailable. Existing knowledge is
based mainly on experimental observations. For corium and similar fuels, it has been experimentally
observed that spontaneous explosions occur most likely when the fuel makes contact with the base of
the test section). However, there is nothing to indicate that a later explosion could not take place.
Theoretically, it is known that a droplet of hot fuel may explode as the result of a minor disturbance,
on the order of a few bars, but despite extensive theoretical researches, this process, known as
“thermal fragmentation”, remains quite poorly understood. It is believed that the disturbance causes
destabilisation of the steam film around the droplet. Through poorly defined processes involving
corium-coolant contact, this destabilisation appears to produce local pressurisation which further
destabilises the fuel droplet. This process likely occurs during the triggering and escalation phase, but
its real importance is not yet known.
Consequently, it is not currently possible to predict whether an explosion will occur in a given accident
situation, beyond certain obvious qualitative aspects. Researchers must therefore assume that an
explosion is always possible for a given scenario and investigate its consequences. This leads to
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systematically incorporating a trigger to determine the steam explosion response of a given system. In
studies reinforcing safety analysis, researchers currently postulate that an explosion occurs at a given
time and location by imposing destabilising conditions locally. However, the triggering event imposed
through a disturbance does not necessarily lead to a strong interaction if the conditions are not
satisfied (for the model). In theory, this minimises the need for in-depth understanding of what causes
triggering, provided that escalation — the system's response to minor disturbances — is correctly
described.
4.3.2.3 Explosion
The explosion phase results from very intense heat transfer between corium and the coolant. For
violent explosions, such as those obtained in the KROTOS facility using alumina (500—1000 bar), the
process may be described as follows:
• Detonation with intense heat transfer (isochoric configuration)
• General expansion in the mixing zone
Because of the obvious equipment limitations, experimental studies on the fine mechanisms of
explosion are extremely complicated. Researchers only have characteristic values to describe the main
physical phenomena.
But paradoxically, this phase is simpler to model from a numerical perspective than the premixing
phase, provided that there are adequate approximations for fine fragmentation as well as heat and
mass transfers, which produce the pressure increase. For one thing, these two phenomena are clearly
dominant mechanisms; for another, several aspects can be simplified or even ignored because of the
timescale (a few milliseconds). However, further efforts are needed to better understand the various
processes themselves.
4.3.2.3.1 Fine fragmentation
Fine fragmentation of a fuel droplet subjected to a shock wave is illustrated in Figure 4.3-4.
Figure 4.3-4: Types of fragmentation based on Weber number (ρρρρV²D/σσσσ) as observed by Bürger et al. ([4.3_5])
During this phenomenon, characteristic droplet size is reduced by one or two orders of magnitude in
around one millisecond. Models with varying levels of detail exist, but so far they have not led to a
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consensus as to the phenomenology itself. The main challenge lies in predicting fragment size, which
has a strong impact on explosion intensity. As of this writing, researchers tend to use a highly
parametric approach.
4.3.2.3.2 Pressurisation mechanisms
The first stationary models of steam explosion ([4.3_6]) were based on the hypothesis of a
instantaneous equilibrium between the fragments produced and the coolant. In the models, the
heating of the water produces the pressurisation during the initial phases. This became known as the
“micro-interaction” approach through the work of Theofanous ([4.3_7]). Physically, however, it is
relatively clear that the fragments are surrounded by a thin steam film. A second series of models are
thus based on the hypothesis proposed by Berthoud ([4.3_8]), that pressurisation is obtained via the
vaporisation accompanying fragment-related heat transfers (“disequilibrium” model). The latter
model, although more mechanistic overall, does require understanding of the mass transfers associated
with the heat exchange between the fragments (100 µm on average) and the coolant. It is important to
remember that these transfers occur during a pressure transient of a few hundred bar, lasting a few
milliseconds. At present, most codes are based on one concept or the other.
4.3.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES
4.3.3.1 Past experimental programmes
Table 4.3-1 lists the main programmes that have focused on premixing or explosion, using corium or
simulant jets weighing several kilograms. The data from these programmes has served as a base for
developing and qualifying computer models. The reference database is that of the FARO experiments.
To the table entries must be added those programmes whose results have not been extensively used,
either because the phenomena studied were not modelled in the codes, or because the results were
not available until very recently. The unlisted programmes include ANL's ZREX tests ([4.3_9]), which
focused on the increased explosion intensity caused by concurrent oxidation of zirconium in the Zr-ZrO2
and Zr-steel mixtures. There are also the premixing tests conducted at JAERI ([4.3_10]) using 10 litres
of steel and Al2O3-ZrO2 mixtures, for which results were not made available until 2005.
In the high-temperature domain, there are also important analytical tests such as TREPAM (CEA/IRSN),
which enabled characterisation of fragment-related heat transfers in highly representative conditions
(pressures up to 240 bar, velocities up to 46 m/s, temperatures on the order of 2500 K). There are also
the BILLEAU tests (CEA/IRSN [4.3_11]) and the QUEOS tests (FZK [4.3_12]), which used solid spheres at
temperatures up to 2200 °C to study premixing.
In 1999, the FARO/KROTOS programme at JRC-Ispra was terminated, despite numerous uncertainties
concerning the behaviour of corium-water systems under steam explosion conditions. This prompted
the CEA to purchase the KROTOS facility from the European Commission. It also played a role in the
launch of the international programme SERENA, on the heels of the OECD SESAR/FAP report which
called for continued investigation of corium-water interaction ([4.3_13]).
- 88 -
Table 4.3-1: Experimental programmes on steam explosion using a fuel jet configuration
Programme Laboratory Type of test
Material Quantity Main parameters
CCM [4.3_14]
ANL
(United States)
Premixing
UO2-ZrO2-steel mixtures at 2800°C
2-12 kg
- Water mass
- Jet diam. (2-5 cm)
- Water temp.
- Jet velocity
FARO [4.3_15] [4.3_16]
CCR Ispra
(European Commission)
Premixing
Explosion UO2-ZrO2 at 2800°C 18-178 kg
- Jet diam. (5 and 10 cm)
- Water level (1-2 m)
- Water temp.
- Pressure (2-50 bar)
KROTOS [4.3_1]
CCR Ispra
(European Commission)
Premixing
Explosion
Sn at 1000°C
Al2O3 at 2300-2800°C
UO2-ZrO2 at 2800°C
1 litre - Molten material
- Material temp.
- Water temp.
PREMIX [4.3_17]
FZ-Karlsruhe
(Germany) Premixing Al2O3 at 2300°C 16-60 kg
- Pressure (1-5 bar)
- Al2O3 mass
- Al2O3 ejection velocity
ECO [4.3_18]
FZ-Karlsruhe
(Germany) Explosion Al2O3 at 2300°C 6-18 kg
- Pressure (3-19 bar)
- Al2O3 mass
- Al2O3 ejection velocity
MIRA
[4.3_19]
KTH
(Sweden) Premixing
Various binary oxides at 1150-
1400°C
5-34 kg - Oxide temp.
- Water temp.
- Water level (1 and 2 m)
4.3.3.2 Experimental programmes currently underway
4.3.3.2.1 National programmes
Aside from the analytical programmes DROPS (IKE [4.3_22]) and MISTEE (KTH [4.3_23]), which use
simulant materials at relatively low temperatures to improve physical models, there are currently two
experimental facilities where global reactor-oriented tests are carried out using corium: KROTOS,
transferred to Cadarache, and TROI in South Korea ([4.3_24]).
4.3.3.2.2 SERENA, an international programme
Phase 1 of SERENA was purely analytical. Its goal was to evaluate the capacity of computer codes to
analyse reactor scenarios and provide credible results. Disparities in the findings indicate the difficulty
of reducing uncertainty to a level allowing assessment of dynamic loads. However, since in-vessel
calculation results were below the limits for lower head rupture (data on ageing not accounted for),
priority was given to the ex-vessel scenario for which the calculations gave dynamic load values liable
to challenge cavity walls and the containment building. From a phenomenological perspective, there
are no fundamental differences between in-vessel and ex-vessel scenarios. The main differences are
related to the nature of the corium, its mode of transfer in water, the system pressure and the water
temperature. These conditions must therefore be addressed first and foremost.
- 89 -
It was established that the primary uncertainties and disparities were due to a lack of detailed data on
the premixing zone and the general behaviour of corium compared with simulants such as alumina
(material effects). Until now, the lower energy level of corium compared with alumina was only
demonstrated in a limited number of compositions, which were not necessarily representative of ex-
vessel corium.
A second phase of the SERENA programme, aimed at filling the data gaps on the premixing phase as
well as material and geometry effects, has been proposed to the CSNI by the CEA, the IRSN and two of
their South Korean counterparts, the KAERI and the KINS. It is based on the KROTOS and TROI
installations (Figure 4.3-5):
• KROTOS is essentially one-dimensional and can accommodate up to 5 kg of fuel. The tests
conducted at Ispra are of prime importance for code qualification and global understanding of the
phenomena. In particular, the new installation will include a radioscopy device allowing
researchers to obtain detailed data on premixing.
• TROI can inject up to 30 kg of corium into a larger-sized tank. The range of possibilities for corium
injection will allow researchers to determine the impact of the various configurations on the basic
explosion intensities established in KROTOS, and will allow verification of the codes'
“extrapolability” to complex situations.
The experimental programme will include a rigorous analytical component structured in the same way
as for phase 1. The SERENA phase 2 proposal is also firmly reactor-oriented. Calling for various
materials typical of accident situations, its primary objective is to:
• Provide data on the distribution of premixture components for code validation.
• Study material effects, particularly the low-energy behaviour of corium observed thus far, to
determine if this behaviour can be generalised.
• Determine whether the codes can address unconventional geometries.
• Establish “envelope” conditions for pressure loads.
The technical proposal is in the final stages and a draft agreement will soon be proposed to the
members of the CSNI.
- 90 -
KROTOS test section TROI test assembly
5 kg of melt1-D geometryNew release deviceX-ray radioscopyExternal trigger
20 kg of melt2-D geometryIntermediate catcherTomographyExternal trigger
UO2-ZrO2-Steel-Zr-FP
KROTOS test section TROI test assembly
5 kg of melt1-D geometryNew release deviceX-ray radioscopyExternal trigger
20 kg of melt2-D geometryIntermediate catcherTomographyExternal trigger
UO2-ZrO2-Steel-Zr-FP
Figure 4.3-5: KROTOS (CEA Cadarache) and TROI (KAERI, South Korea) experimental installations. Key characteristics and instrumentation
4.3.3.3 Codes
The IRSN and the CEA continue to develop the MC3D code, particularly for the numerical simulation of
the premixing and explosion phases ([4.3_20], [4.3_21]). EDF discontinued its support in 2002. The
SERENA programme has positioned MC3D amongst a small group of advanced tools leading the way in
steam explosion simulation (with the likes of PM-ALPHA [USA], IKEMIX/IDEMO [Germany, GRS/IKE] and
JASMINE [Japan]) ([4.3_21]).
Codes for analysing steam explosions must be able to handle the numerous interactions between
phases. This implies very complex modelling with detailed numerical schemes, particularly to ensure
robustness. Furthermore, certain codes, such as MC3D, are used for both assessing safety in nuclear
installations (practical approach) and enhancing understanding of phenomenology (R&D approach). This
duality implies constraints which are often difficult to manage.
In the PREMELANGE (premixing) application of MC3D, there are three fields for the fuel:
• A continuous field (jet), modelled using a volume-tracking method (VOF-PLIC, see Figure 4.3-6).
• A droplet field modelled using an Eulerian method. The droplets are produced by fragmentation of
the continuous field.
• An optional fine fragment field.
- 91 -
Figure 4.3-6: Examples of the volume-tracking method used in MC3D (red: continuous fuel, black points: droplets). From left to right: Rayleigh-Taylor instabilities, ejection of fuel from vessel under high-pressure conditions (transition towards two-phase flow at break), analysis of in-
vessel interaction with several jets.
There are fewer differences between the codes regarding explosion modelling, and most of them use
two fields for the fuel, namely a droplet field and a fragment field.
Some codes, such as PM-ALPHA and IDEMO, use what is known as a “micro-interaction” approach, in
which the heating of a fraction of the water produces the pressurisation. The MC3D and JASMINE
models assume that pressurisation is due to vaporisation around the fragments generated by the
explosion. The consequences of these modelling choices are currently being assessed.
Although the predictive capacities of these tools are still somewhat limited at this time, they have
significantly enhanced overall understanding of the phenomena and the multiple interactions. With
regard to safety studies that are relatively complete, MC3D has only been operational for about three
years. The code remains difficult to use, requiring a high level of expertise. However, the multiple
partnerships in place around this code should accelerate maturity.
4.3.4 SUMMARY AND OUTLOOK
The research outcomes on steam explosion may appear modest in light of the problems left to solve. In
any case, it is clear that adequate modelling can only be achieved through the development of
sophisticated simulation tools. Considering the progress made in this area in the last decade,
particularly in Europe and Japan, it is easier to evaluate the work yet to be done. Moreover, there is
currently an international pooling of efforts which is particularly evident in the SERENA programme.
This sharing of resources is essential and creates common ground between visions which are sometimes
divergent. Encompassing an ambitious analytical programme, the phase 2 proposal for SERENA is
aligned with this approach. With cutting-edge, innovative instrumentation and controlled experimental
conditions, the groundwork is in place to considerably build knowledge and extend the database for
qualifying code.
Regarding the impact on safety, there has been renewed international interest in a more detailed
assessment of the ex-vessel situation, as much for PWRs (excluding EPRs) as for BWRs, which is
reflected in the SERENA-2 proposal. This is primarily due to questions about the mechanical strength of
concrete structures, considering the loads produced by steam explosions. This problem is all the more
important given that preventative reflooding of the cavity is one of the mitigating actions widely
- 92 -
implemented or postulated in the event of a severe accident in an operational reactor (VVERs, PWRs
and BWRs).
Concerning in-vessel steam explosions (alpha mode), there is agreement in the international
community that the consequences of this phenomenon are of a residual nature. In the short term, the
IRSN plans to verify these conclusions against recent R&D work (MC3D and Europlexus calculations).
- 93 -
CHAPTER 4 TABLES
Table 4.3-1: Experimental programmes on steam explosion using a fuel jet configuration ............... 88
- 94 -
CHAPTER 4 FIGURES
Figure 4.1-1: Physical phenomena during direct containment heating ........................................ 64
Figure 4.1-2: DISCO-C test representing P’4 geometry ........................................................... 66
Figure 4.1-3: Impact of combustion on pressure levels in IET tests (SNL)..................................... 67
Figure 4.1-4: 3D geometry from MC3D analysis of P'4 DISCO tests, and assessment of the fraction
dispersed towards the top of the pit (water as simulator and break diameter of 60 mm)................. 70
Figure 4.2-1: Shapiro diagram for hydrogen-air-steam mixtures................................................ 73
Figure 4.3-1: Schematic diagram of the phases in a steam explosion.......................................... 83
Figure 4.3-2: At left, alumina/water premixture (KROTOS-57). At right, corium/water premixture
(KROTOS-58). Video camera, 24 frames/s. 10x20 cm window. Taken from [4.3_1]......................... 84
Figure 4.3-3: Instability/fragmentation via atomisation (left) and on a larger scale (right) .............. 85
Figure 4.3-4: Types of fragmentation based on Weber number (ρV²D/σ) as observed by Bürger et al.
([4.3_5]) ................................................................................................................... 86
Table 4.3-1: Experimental programmes on steam explosion using a fuel jet configuration ............... 88
Figure 4.3-5: KROTOS (CEA Cadarache) and TROI (KAERI, South Korea) experimental installations. Key
characteristics and instrumentation ................................................................................. 90
Figure 4.3-6: Examples of the volume-tracking method used in MC3D (red: continuous fuel, black
points: droplets). From left to right: Rayleigh-Taylor instabilities, ejection of fuel from vessel under
high-pressure conditions (transition towards two-phase flow at break), analysis of in-vessel interaction
with several jets. ........................................................................................................ 91
- 95 -
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[4.1_5] Meyer L., Albrecht G., Kirstahler M., Schwall M., Wachter E., Wörner G., "Melt Dispersion and Direct Containment Heating (DCH) Experiments in the DISCO-H Test Facility", FZKA 6988, 2004.
[4.1_6] Meyer L., Gargallo M., Kirstahler M., Schwall M., Wachter E., Wörner G., "Low Pressure Corium Dispersion Experiments in the DISCO Test Facility with Cold Simulant Fluids", FZKA 6591, 2002.
[4.1_7] Meyer L., Plassart D., "DCH test campaign in the modified DISCO-C facility using water as corium simulant – Summary report", NT IRSN/DSR/SAGR/05-059, 2005 – Non-public reference.
[4.1_8] Cranga M., Giordano P., Passalacqua R., Caroli C., Walle L., "ASTEC RUPUICUV Code – Version 1.2 – Ex-vessel corium discharge and corium entrainment to containment", ASTEC-V1/DOC/03-19, 2003 – Non-public reference.
[4.1_9] Murata K.K., Williams D.C., Tills J., Griffith R.O., Gido R.G., Tagios L.G., Davis F.J., Martinez G.M., Washington K.E., "Code Manual for CONTAIN 2.0: A Computer Code for Nuclear Reactor Containment Analysis", NUREG/CR-6533, SAND97-1735, 1997.
[4.1_10] Wilhelm D., "Analysis of Direct Containment Heating Experiments with Thermite in P’4 Geometry", Note Technique DSR/SAGR/05-58, 2005 – Non-public reference.
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[4.2_2] C. E. PAILLARD & all, "Note technique sur l’enceinte d’accélération de flamme", Rapport CNRS- LCSR October 2001 – Non-public reference.
[4.2_3] H-J. ALLELEIN & al, "Proposal for an international standard problem exercise on containment thermal hydraulics", March 2001 – Non-public reference.
[4.2_4] D. LETEINTURIER & al, "Essais H2PAR : période mi-98 à fin 2000 synthèse des essais conclusions du programme", Rapport IRSN/DPEA/DIR/02/01 – Non-public reference.
[4.2_5] J. LOESEL-SITAR & al, "Environmental Qualification of Hydrogen Recombiners, Test Report", Rapport AECL 00-68460-TR-001 – Non-public reference.
[4.2_6] W. BREITUNG & al, "OECD State-of-the-Art Report on Flame Acceleration and Deflagration-to-Detonation Transition In Nuclear Safety", OECD/CSNI, October 1999.
[4.2_7] S. DOROFEEV & al , "Large scale experiments for validation of hydrogen combustion models and criteria", article présenté au Jahrestatung Kerntechnick, Stuttgart, May 2002.
[4.2_8] O. BRAILLARD & al, "generic model tests of passive autocatalytic recombiners (PARs) for combustible Gas control in nuclear power plants: Volume 2- test data for NIS PARs", note CEA 96/023A – Non-public reference.
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[4.2_9] O. BRAILLARD & al, "generic model tests of passive autocatalytic recombiners (PARs) for combustible Gas control in nuclear power plants", Volume 3- test data for SIEMENS PARs, note CEA 96/023B – Non-public reference.
[4.2_10] W. Breitung & all, "Integral large scale experiments on hydrogen combustion for severe accident code validation HYCOM", Nuclear Engineering and Design, volume 235, Issues 2-4, pp 253-270.
[4.2_11] P. ZAVALETA & all, "Expérience TOSQAN Description du programme expérimental 1ère partie : condensation en paroi", rapport d’étude SERAC/LPMC/99-03 – Non-public reference.
[4.2_12] D. Leteinturier & al, "rapport de convergence des programmes MISTRA de la DRN et TOSQAN de l’IPSN", Note technique DPEA/99-04 – Non-public reference.
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[4.2_14] P. RONGIER, T. BONHOMME, C. PEREZ, "1ère Synthèse H2PAR – Résultats expérimentaux : Fiches d’expériences, expériences E1 à E19 et PHEB 02" - Rapport DPRE/SERE n° 98/014 (I) – Non-public reference.
[4.2_15] P. RONGIER, T. BONHOMME, C.PEREZ "2ème Synthèse expérimentale H2PAR - Détermination des conditions d’inflammation d’un mélange Air/H2/H2O par les recombineurs Siemens et A.E.C.L – Fiches d’expériences" – Rapport IPSN/DPRE/SERLAB n°99/004 (I) – Non-public reference.
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[4.3_2] Meignen, R., Berthoud, G., 1997. "Fragmentation of molten fuel jets", Proceedings of the International Seminar of Vapor Explosions and Explosive Eruptions, pp. 83–89.
[4.3_3] J. Namiech , G. Berthoud and N. Coutris, "Fragmentation of a molten corium jet falling into water", Nuclear Engineering and Design, Volume 229, Issues 2-3, April 2004, Pages 265-287.
[4.3_4] Final Report of Phase 1 of International OECD programme SERENA. Draft, 1 June 2006. To be published end of year as CSNI report.
[4.3_5] M. Bürger, S.H. Cho, E.V. Berg, A. Schatz, "Modelling of drop fragmentation in thermal detonation waves and experimental verification", Specialist’s Meeting on FCI, Santa Barbara, California, USA, Jan 5-8, 1993.
[4.3_6] Board S.J., Hall, R.W. and Hall, R.S., "Detonation of fuel coolant explosions". Nature 254 3, 1975, pp. 319–321.
[4.3_7] W. W. Yuen and T. G. Theofanous, "On the existence of multiphase thermal detonations", International Journal of Multiphase Flow, Volume 25, Issues 6-7, 11 September 1999, Pages 1505-151.
[4.3_8] G. Berthoud, "L'interaction CORIUM-EAU : synthèse et analyse des résultats expérimentaux", Note CEA STT/LPML/87/28/C, October 1987 – Non-public reference.
[4.3_9] D.H. Cho, D.R. Armstrong and W.H. Gunther, "Experiments on Interactions Between Zirconium-Containing Melt and Water", NUREG/CR-5372, 1998.
[4.3_10] K. Moriyama, Y. Maruyama, T. Usami ands H. Nakamura, "Coarse break-up of a stream of oxide and steel melt in a water pool", JAERI-Research 2005-017, 2005 – Non-public reference.
[4.3_11] F. Duplat, G. Berthoud and M. Hamon: "Recent Results on the BILLEAU Premixing Experiment using Cold and Hot Spheres (2200°C) and Comparisons with MC3D calculations", Proc. 2nd Int. Conf. on Advance Reactor Safety, ARS’97, Orlando, Florida, 1-4 June 1997.
[4.3_12] L. Meyer, "QUEOS, An Experimental Investigation of Pre-mixing Phase with hot spheres", Proc. OECD/CSNI Specialist Meeting on FCI, 19-21 May 1997, Tokai-Mura, Japan, P155-166.
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[4.3_14] S.K. Wang, C.A. Blomquist, B.W. Spencer, L.M. Mc Umber and J.P. Schneider, "Experimental Study of the Fragmentation and Quench Behaviuor of Corium Melts in Water", Proc. 5th Nuclear Thermal Hydraulics, San Francisco, P 120-135, 1989.
[4.3_15] D. Magallon, H. Hohmann and I. Huhtiniemi, "Lessons Learnt from FARO/TERMOS Corium Melt Quenching experiments", Nuclear Engineering and Design, Volume 189 (1999) pages 223-238.
[4.3_16] D. Magallon and I. Huhtiniemi, "Energetic event in fuel-coolant interaction test FARO L-33", ICONE-9 Conference, Nice, France, 8-12 April 2001.
[4.3_17] A. Kaiser, W. Schutz and H. Will, "Melt Water Interaction Tests (PREMIX tests PM10 and PM11)", Proc. OECD/CSNI Specialist Meeting on FCI, 19-21 May 1997, Tokai-Mura, Japan, P646-655.
[4.3_18] W. Cherdron, H. Jacobs, A. Kaiser and W. Schütz, "Measurement of Steam Explosion Loads: the ECO experiments", NURETH-11, Avignon, France, 2-6 October 2005.
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[4.3_20] R. Meignen, "Status of the Qualification Program of the Multiphase Flow Code MC3D", Proceedings of ICAPP ’05, Seoul, KOREA, May 15-19, 2005, Paper 5081.
[4.3_21] R. Meignen et al., "Comparative Review of FCI Computer Models Used in the OECD-SERENA Program", Proceedings of ICAPP ’05, Seoul, KOREA, May 15-19, 2005, Paper 5081.
[4.3_22] Bürger M., "Comparison and Theoretical Interpretation of Experiments on Hydrodynamic Drop Fragmentation". IKE 2-FB-16, (CEC-RCAMFCI Project, Report INV-MFC(98)-D014), July 1998, Universität Stuttgart – Non-public reference.
[4.3_23] Park, H.S., Hansson, R.C., Sehgal, B.R., "Fine fragmentation of molten droplet in highly subcooled water due to vapor explosion observed by X-ray radiography", Experimental Thermal and Fluid Science 29 (3), pp. 351-361.
[4.3_24] J. H. Song, I. K. Park, Y. S. Shin, J. H. Kim, S. W. Hong, B. T. Min and H. D. Kim, "Fuel coolant interaction experiments in TROI using a UO2/ZrO2 mixture", Nuclear Engineering and Design, Volume 222, Issue 1, May 2003, Pages 1-15.
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CHAPTER 5 : PHENOMENA THAT COULD LEAD TO A LATE
CONTAINMENT FAILURE
5.1 MOLTEN CORIUM-CONCRETE INTERACTION (MCCI)
5.1.1 BACKGROUND TO MCCI AND THE OBJECTIVES OF THE R&D PROGRAMME
In the event of a failure of the reactor vessel, the corium consisting of the molten core and internal
structures will spread over the concrete basemat at the bottom of the reactor pit. The contact
between the corium and the concrete leads to an event generally referred to as the molten corium-
concrete interaction or MCCI. This interaction causes the gradual ablation of the basemat and the walls
of the reactor pit. The failure of the basemat would lead to the leakage of radioactive products outside
the containment building. A breach in the side walls of the reactor pit may also result in the corium
coming into contact with water present nearby. The vaporisation of this water would lead in turn to an
increase in the pressure within the containment building. The pressure within the containment building
is also increased by the release of gasses produced during the ablation of the concrete. The kinetics of
this process is similar to those of the ablation of the basemat, i.e. from one to several days. Finally, it
should also be noted that the production of aerosols during the MCCI causes changes in the behaviour
of the aerosols in the containment building and hence in the source term.
The R&D carried out in relation to MCCI aims to provide the understanding needed in order to make an
acceptable prediction of the kinetics of the axial and radial ablation of the basemat and reactor pit
walls, together with the changes in the sources of gasses and aerosols produced during an MCCI.
5.1.2 PHENOMENOLOGY OF MCCI AND THE RESULTING PROBLEMS
Given the high temperature of the molten material coming from the reactor vessel (Toxides > 2500 K)
which is maintained at that temperature by the residual power, and the melting point of concrete
(around 1600 K for silica concretes), the main process occurring during an MCCI is the melting of the
walls of the reactor pit. As the concrete consists mainly of SiO2, CaCO3 and H2O, it releases both
condensed (SiO2, CaO) and gaseous phases (H2O, CO2) into the pool. The corium pool therefore contains
heavy oxides from the core (UO2, ZrO2), light oxides from the concrete (mainly SiO2 and CaO) and a
range of metals (Fe, Cr, Ni, Zr). All these constituents are stirred together by the gasses resulting from
the decomposition of the concrete. The possible contact between metals and condensed or gaseous
oxides could give rise to possibly exothermic oxidation reactions with reaction products including new
gasses such as H2, CO and SiO(g). Finally, contact between the high temperature corium and cooler
concrete may cause the corium to solidify with the possibility of debris being suspended in the liquid.
The corium pool therefore contains many constituents in a variety of phases (liquid, solid and gas). The
composition and physical properties are constantly changing during the MCCI due to the decomposition
of the concrete and the chemical reactions taking place.
- 99 -
As the rate of ablation of the vertical and horizontal concrete walls depends on the ratio of the heat flux
received by the walls and the energy per unit volume necessary for their ablation, any determination of the
ablation kinetics of these walls requires the calculation of the distribution of heat flux at the boundaries of
the corium pool. It is generally considered that the gas-induced stirring results in the liquid phase or phases
within the corium-concrete pool being essentially homogeneous, and very steep temperature and
concentration gradients could exist at the interfaces (see Figure 5.1-1). Using this approach, it can be seen
that the heat flux at the boundary of the pool may be expressed in terms of a coefficient of convective heat
exchange and the temperature at the interface between the corium pool and the material separating the
concrete from the corium. This interface temperature depends on the structure of the interface between
the corium and the concrete (i.e. whether or not a stable crust is formed). Depending on the rate of release
of gasses from the concrete and the densities of the oxide and metal phases (which are only partially
miscible) the pool may consist of a single layer of mixed oxide and metal, or of several layers of oxide and
metal stratified according to their relative densities. In the latter case (see Figure 5.1-2), a determination
of both the interface temperature and the heat exchange coefficient is therefore needed, not only at the
interface between the layers and the concrete, but also at the interface between the liquid oxide and liquid
metal.
ox+met
Ti
Tpox+met
Ti
Tpox+metox+metox+metox+metox+metox+met
Ti
Tp
Ti
Tp
Figure 5.1-1: Corium pool in a mixed configuration – Close-up of the corium-concrete interface
métal
oxyde (Q)
metal
oxide (Q)
Figure 5.1-2: Corium pool in a stratified configuration
- 100 -
5.1.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES
Studies of the molten corium-concrete interaction are based on both experimentation and modelling.
The aim of the studies is to improve understanding of the phenomena involved (heat transfer,
solidification, mixing, etc.), and to study the molten corium-concrete interaction as a whole using
simulation code based on models derived from experimental data.
5.1.3.1 Experimental work
Two types of test are used in the investigation of the molten corium-concrete interaction:
• Analytical tests, based on model systems, used to measure some of the characteristic variables
associated with the phenomena such as the interface temperature, heat exchange coefficient, etc.
• Global tests to measure ablation rates during a molten corium-concrete interaction using prototype
materials or simulants.
5.1.3.1.1 Analytical tests
Heat exchange coefficients
Numerous analytical tests [5.1_1], [5.1_2], [5.1_3] seeking to determine the heat exchange coefficient
between a liquid pool and a porous wall allowing the passage of gasses have been carried out during
the past thirty years. An analysis of the results of these tests shows that the physical properties of the
liquids used are often close to those of water, and that the available data mainly relates to horizontal
walls. In the case of water, the measurements carried out as part of the various experimental
programmes all give very similar results for a given superficial gas velocity. Data relating to viscous
liquids (comparable with concrete-enriched corium) and vertical walls is relatively rare [5.1_4]. It
would, however, appear that the heat exchange coefficients for vertical and horizontal walls are
broadly similar when water is used as the test liquid.
Results relating to the heat exchange coefficients between two immiscible liquids through which a gas
is passing (the same configuration as that in a stratified reactor) are even rarer (Greene [5.1_5], Werle
[5.1_6]). Analysis of the results of these tests reveals a wide variation in the measurements (by a
factor of between 5 and 10), a lack of relevance to the systems being studied (absence of solidification
at the interface) and experimental procedures giving rise to a degree of caution. These factors make it
difficult to apply these results to reactor studies.
Interface temperature
The ARTEMIS programme [5.1_7] is the only programme so far to have determined the temperature at
the boundaries of a corium pool. The programme made use of simulants, including salts (LiCl and BaCl2)
with phase diagrams similar to those of reactor constituents, to investigate the relationships between
physico-chemistry and thermalhydraulics. Tests carried out using one-dimensional configurations
(horizontal corium-concrete interface) have confirmed that, under test conditions believed to be
representative of a reactor, the interface temperature was close to the liquidus temperature of the
pool, and that the pool temperature decreased in line with the decrease in liquidus temperature as the
concrete content of the pool increased. The second phase of the programme (ARTEMIS 2D) will expand
- 101 -
the study to include multi-dimensional configurations, and a third phase will concentrate on stratified
oxide/metal configurations, including a determination of the boundary conditions at the interface
between the liquid layers.
Mixing and separation of immiscible liquids through which a gas is passing
A study of the mixing and separation of immiscible liquids through which a gas is passing has been
carried out with the aim of predicting the configurations (mixed or stratified) of a corium pool during
an MCCI. Most of the experimental work on this topic has been carried out using simulants [5.1_8],
[5.1_9], [5.1_10] and was restricted to hydrodynamic considerations only (no effects of phase
changes). This work aimed to determine the mixing and separation thresholds in terms of the
superficial gas velocity (or void ratio) as a function of the difference in density between the two
liquids. A review of the data reported in [5.1_10] indicates a degree of variance, which can be marked,
between the results of the various tests. This is partly due to the different physical properties of the
liquids.
Physical properties of the materials
Highly analytical tests have also been carried out to investigate the thermophysical (viscosity) and
thermochemical properties of the corium needed in order to model the ex-vessel behaviour of the
corium.
5.1.3.1.2 Global tests
The global tests were used to investigate the entire interaction, with all the phenomena involved in an
MCCI included in a coupled manner. These tests are difficult to carry out, given the technological
difficulties to be overcome, including very high temperatures and heating processes. Interpretation of
the tests results is also difficult due to the limited number and imprecise nature of the measurements,
the delicate estimation of thermal losses, and the presence of phenomena whose influence is often
difficult to quantify (ejection of material, anchoring of the crust, etc.). However, despite these
difficulties, these tests are still essential as they often reveal phenomena that has not hitherto been
identified and which may be significant (e.g., the ejection of MCCI corium under water during the
MACE tests). A list of these tests is given in Table 5.1-1.
Form a chronological point of view, the 1D oxide tests (ACE, MACE and SURC) have been performed ten
or more years ago. The results of these tests have been used to develop and confirm the hypotheses
forming the basis of the corium behavioural models (decrease in the temperature of the pool to close
to that of the liquidus), and to partially validate the simulation codes. The 2D tests on prototype oxide
materials (OECD-MCCI and VULCANO) were begun much more recently and provide data on the 2D
distribution of heat flux during an MCCI. The results from these tests tend to show that the ablation
takes place preferentially in the radial direction in the case of silica concrete, and that it is relatively
homogeneous in the case of lime-silica concrete [5.1_11]. The analysis and interpretation of the results
of these tests is in progress. Of particular interest will be the relative importance of the effects due to
physical phenomena (e.g. the type of concrete) and those arising from the specific characteristics of
the experimental installations (e.g. type of heating) in explaining these differences in behaviour.
- 102 -
Table 5.1-1: Summary of the global MCCI tests
Programme Characteristics Mass of corium
Geometry Parameters
SURC (1D) reactor materials
+ fission products 200 kg
cylinder
diameter: 0.4 m
concrete composition, power
ACE (1D) reactor materials
+ fission products 250/450 kg
parallelepiped
0.5mx0.5mx0.4m
composition of the concrete, power
MACE (1D) reactor materials
water injection 100/1800 kg
parallelepiped
(0.5 to 1.2m)x(0.5 to 1.2m) x 0.4m
composition of the concrete, power,
water flow rate
BETA (2D)
alumina-iron thermite
stratified oxide-metal
450 kg truncated cone
diameter: 0.4 m
composition of the concrete, power
COMET-L (2D)
alumina-iron thermite
stratified oxide-metal
920 kg cylinder
diameter: 0.6 m
composition of the concrete, power
OECD-MCCI (2D) reactor materials 350 kg
parallelepiped
0.5mx0.5mx0.6m
composition of the concrete, power
ARTEMIS 2D simulant salts 110 kg cylinder
diameter: 0.3m x height: 0.6m
power, gas flow rate
VULCANO-ICB (2D) reactor materials 40 kg
half cylinder
diameter: 0.3m
height: 0.3m
composition, concrete, power
There are no results available from tests involving prototype materials for stratified oxide/metal
configurations in which the heating is representative of reactor conditions. The BETA and COMET tests
used simulant materials and the use of induction heating implies that power was injected into the
metal phase rather than the oxide phase as would be the case in the reactor case. The BETA test
showed preferred ablation in the axial direction. This behaviour cannot be extrapolated to a reactor as
it was probably due to method of heating used [5.1_12]. The VULCANO tests should provide much of
the data that is still missing at the present time.
- 103 -
5.1.3.2 Modelling
Corium behaviour and the interface temperature
A first approach, the earliest to be adopted, is to assume that the temperature of the pool lies
between the liquidus temperature and the solidus temperature. The pool has the consistency of a
slurry, between the solid phase and the liquid phase. The crust that forms at the boundaries has the
same composition as the corium pool and does not alter the internal solid fraction. The interface
between the pool (with or without crust) and the concrete consists of a film of molten concrete known
as the “slag layer”. The solid/liquid equilibrium temperature is therefore equal to the solidus
temperature and the entire semi-molten mass is convective. However, this hypothesis is not in
agreement with the changes in temperature measured during some of the ACE and OECD-MCCI tests.
More recently, the CEA has developed a new model known as the “phase segregation model”. In the
MCCI case, this model is derived from the model coupling thermal-hydraulic and physico-chemistry
used to describe the in-vessel behaviour of the corium [5.1_13]. In this approach, it is assumed that the
pool is liquid and that the crust, consisting entirely of refractory materials (UO2 and ZrO2), is deposited
at the interface between the pool and the concrete. Although this crust may be unstable, it is possible
in the reactor case to consider the situation averaged over space and time and it is sufficient to model
the crust behaviour under steady-state conditions. In the same way, a succession of steady-state
hypotheses is used to model the coupling between thermalhydraulics and physico-chemistry: at the
pool-crust interface, the liquid pool and solid crust are in thermodynamic equilibrium, and the
interface temperature is equal to the liquidus temperature of the pool. This model has been partly
validated by the ARTEMIS 1D tests in respect of the interactions at a horizontal wall and the ablation
and gas superficial velocity corresponding to the long term MCCI phase of the reactor case. This model
is less applicable as it assumes equilibrium during the initial transient phase of the interaction and the
error may be important in the case of short term MCCI tests. The model also probably fails if the
concentration of silica in the pool is high [5.1_14] during the long term phase as this effect was not
simulated by ARTEMIS. If there is chemical equilibrium is not reached, the interface temperature of the
pool may be lower than the liquidus temperature and the segregation may be less pronounced or even
absent.
Heat exchange coefficient
Numerous models and correlations relating to heat transfer between a pool and a porous horizontal
wall through which gas is injected are available in the literature [5.1_1], [5.1_2], [5.1_3], [5.1_4], and
[5.1_5]. These have been obtained by the simple correlation of the experimental data referred to
above (following a dimensional analysis) or by means of a more theoretical approach. They are
expressed in the form Nu=f(Re, Pr) or Nu=f(Ra, Pr) according to whether the heat transfer is assumed
to be controlled by forced convection due to the gasses from the decomposition of the concrete, or by
natural convection. The limited range of physical properties of the fluids used in the tests using
simulants (see 5.1.3.1) make it difficult to evaluate these models in spite of the fact that they produce
results that are in relatively good quantitative agreement in these tests [5.1_15]. Although these
models give identical results on the basis of available experimental data, there is a wide variation in
- 104 -
the results of the correlations when they are used with parameters representative of the reactor case.
This variation probably indicates that some of the models do not fully reflect all of the physical
phenomena present and the relative weightings of the various parameters. For this reason, a model
[5.1_16] based on a more phenomenological approach was suggested in 2005. This model gives
satisfactory results for the available experimental data (horizontal and vertical walls) but requires
additional validation for viscous liquids.
It is important to stress that, in addition to the absolute local value of the heat exchange coefficient
between the pool and the crust, the variations in the value of this coefficient along the surface of the
pool are also crucial in determining the variations in heat flux and local ablation rates under the quasi-
steady-state conditions that characterise the major part of the MCCI phase.
There are also many models for the heat transfer between two liquids available in the literature
[5.1_5], [5.1_17]. However, the variations in the few experimental results available makes their
assessment in the context of reactor studies extremely difficult.
Mixing and separation of immiscible liquids through which a gas is passing
The results of tests using simulants have been used as a basis for the development of experimental
correlations [5.1_10] in which the variation in the results is similar to that in the measurements. These
correlations have not been validated by tests on real materials and their use under reactor conditions
can lead to a range of results including configurations that are mainly mixed or mainly stratified during
an MCCI.
5.1.3.3 Simulation codes
The codes developed for MCCI studies [5.1_18], [5.1_19], [5.1_20] is all based on the same set of
assumptions:
• The corium pool consists of various layers (oxides or metals) each homogeneous in both
temperature and composition.
• The corium pool may be either mixed or stratified.
• The interface structure is described by a thermal resistance model taking account of the possible
formation of a solid crust and/or a zone containing concrete decomposition products (slag layer).
The ablation rate is calculated from the discontinuity in the heat flux at the ablation front (Stefan
equation) treating the ablation as a thermal decomposition process.
The differences between the codes mainly relate to the corium behaviour models considered and the
sub-models or correlations used (void ratio, heat exchange correlation, etc.).
The TOLBIAC-ICB [5.1_18] code, developed by the CEA, is based on a phase segregation model which
assumes that the pool is liquid and that a crust of refractory materials forms at the interface. The
interface temperature is equal to the liquidus temperature (greater than 2200 K for most of the MCCI).
It is calculated from the composition of the pool via a coupling with the GEMINI2 thermodynamic code.
The CORCON code [5.1_20], on the other hand, assumes that the pool is a mixture with solid debris
held in suspension in a liquid. The model also assumes the existence of a slurry zone if the temperature
- 105 -
of the pool lies between the liquidus and solidus temperatures. The “slag layer” model is used to
describe the interface. In this approach, the interface temperature is the melting point of the concrete
(close to 1600 K for silica concrete).
The MEDICIS code [5.1_19], developed at the IRSN, uses more general modelling to describe the
behaviour of the pool interfaces. It assumes the existence of a mushy zone at the interface between
the liquid pool and the concrete consisting of a convective zone and a conductive zone, the extents of
which are still to be defined. In this approach, the interface temperature used for the convective
transfers from the pool to the interface is then the threshold temperature at the point where the
convective zone meets the conductive zone within the mushy zone (see Figure 5.1-3). As no model
currently determines this interface temperature, also referred to as the solidification temperature, in
a satisfactory manner in all cases, it is calculated for the present by linear interpolation using a user
parameter γ between the liquidus temperature (γ=0) and the solidus temperature (γ=1). The extreme
values of γ=0 and γ=1 correspond to the interface modelling in the TOLBIAC and CORCON packages
respectively. The best choice of γ, derived from the current experimental validation of MEDICIS by
means of MCCI experiments, is in the range (0 ; 0.3). The segregation of phases within the pool towards
the crust is ignored as the crust at the corium/concrete interface is usually thin. However, the liquidus
and solidus temperatures, together with the relationship between the molten fraction of the corium,
its composition and its temperature, are all calculated prior to the MCCI simulation using a GEMINI2
simulation. A film of molten concrete (slag layer) is also assumed to exist between the concrete and
the pool (with or without crust).
Tsol
Tsolidif
Tliquidus T(x)
completely liquid corium poolconvective mushy zone
concrete
solid crust + mushy zoneslag
layer
conductive zone
Tsol
Tsolidif
Tliquidus T(x)
completely liquid corium poolconvective mushy zone
concrete
solid crust + mushy zoneslag
layer
conductive zone
Figure 5.1-3: Modelling of the corium/concrete interface in MEDICIS
The main stages in an MCCI simulation are as follows:
• Calculation of the physical properties of the pool.
• Calculation of the solid fraction (if applicable).
• Determination of the interface temperature.
• Calculation of the heat transfer coefficients.
• Estimation of the ablation rate.
• Mass balance taking account of the chemical reactions and energy balance including surface
radiation in order to obtain the composition and temperature of each zone in the pool.
- 106 -
• Calculation of the thicknesses of the crust and the ablations.
• Updating the shape of the cavity and the heat exchange surfaces.
Given the uncertainties in the heat transfer models and the characteristics of the interfaces, it is
essential that the code tool has sufficient flexibility to enable sensitivity studies to be carried out and
changes to be made easily. This is the case with TOLBIAC-ICB and MEDICIS, but not with CORCON.
The simulation code is validated against the results of the tests described above. This validation
process is complex in the case of the global tests due to transient effects and the large number of
phenomena observed during these tests that are not necessarily modelled in the code including the
ejection of corium and deposits of material on the walls of the test sections.
5.1.4 SUMMURY AND OUTLOOK
5.1.4.1 Knowledge requirements and uncertainties
Recent experimental results and reactor simulations carried out using the MEDICIS and TOLBIAC-ICB
code have revealed the following main uncertainties [5.1_21]:
• The nature and properties of the corium pool interfaces, including the solidification temperature,
and the transfer of heat and mass across the corium/concrete interfaces.
• The 2D distribution (axial and radial) of the heat flux in a homogeneous pool.
• The transfer of heat and mass between the metal and oxide layers in a stratified configuration.
• Changes in the configuration of the pool (stratification).
In terms of the interface structure, an analysis of the available 1D MCCI experimental results relating
to a homogeneous pool with a horizontal interface shows that the results are close to those derived
from the phase segregation model, including the liquid pool, solidification temperature close to the
liquidus temperature, high two-phase heat transfer coefficient, and formation of refractory crusts at
the corium/concrete interface, albeit with a less refractory composition that derived from the phase
diagrams. However, solidification tests in the absence of gas show a tendency for the phenomenon of
accumulation of refractory components at the interface to disappear at high silica concentrations. The
ARTEMIS 2D tests using simulants and new instrumentation dedicated to the measurement of the
interface temperatures at horizontal and vertical walls should provide an additional understanding of
the physical basis of the interface phenomena.
Considerable uncertainties still surround the last three points in the above list, i.e. the distribution of
the heat flux at the pool interfaces, the transfer of heat and mass between the metal and oxide layers
in a stratified configuration, and changes to the configuration of the pool. In particular, an improved
understanding of the heat transfer between the metal and oxide layers and of the type of pool
configurations and their changes will enable the currently considerable uncertainties surrounding the
axial and radial ablation kinetics in a stratified pool configuration to be reduced to acceptable levels
[5.1_19].
- 107 -
5.1.4.2 Future work
The continuation of the experimental programmes currently in progress (ARTEMIS 2D and VULCANO
MCCI), together with planned future experiments (follow-up of OECD-MCCI) and the associated
analytical work (interpretation and benchmark exercises with codes) will improve understanding of the
physical phenomena determining the structure of the interfaces and will add to understanding of the
2D distribution of heat flux in a homogeneous pool configuration. The VULCANO-MCCI and ARTEMIS
tests relating to oxide-metal interfaces in a stratified pool should, among other expected results,
contribute to a reduction in the remaining uncertainties and provide data relating to heat transfers
between oxides and metals and changes in the configuration of the pool.
However, should the results obtained from these various tests prove to be insufficient, additional
experimental programmes will be required. Two analytical test programmes using simulants are
currently envisaged:
• The ABI programme concentrating on the study of heat exchanges between two immiscible liquids
though which a gas is passing. This programme will obtain more precise data on the oxide/metal
heat transfers which will have a major impact on the results of reactor simulations in the presence
of a stratified configuration [5.1_21] ;
• The CLARA programme will provide a better understanding of 2D ablation in a homogeneous pool
configuration by studying in more detail the heat transfers between a heated pool and a porous
wall through which a flow of gas is passing in 2D configuration with simplified boundary conditions
(without ablation).
A large-scale qualification test would also be required.
A programme of additional studies is currently in preparation with the aim of reducing the
uncertainties in relation to the thermochemical properties of corium (determination of phase diagrams
for certain selected oxide and metal mixtures under conditions where the thermochemical data is
insufficient or uncertain). An analysis of these experimental results will complete the NUCLEA
thermochemical database used by the thermodynamic simulation codes (e.g. GEMINI2 [5.1_22]).
- 108 -
TABLES IN CHAPTER 5
Table 5.1-1: Summary of the global MCCI tests ...................................................................102
- 109 -
FIGURES IN CHAPTER 5
Figure 5.1-1: Corium pool in a mixed configuration – Close-up of the corium-concrete interface ....... 99
Figure 5.1-2: Corium pool in a stratified configuration........................................................... 99
Figure 5.1-3: Modelling of the corium/concrete interface in MEDICIS ........................................105
- 110 -
REFERENCES FOR CHAPTER 5
[5.1_1] Kutateladze S.S., "Boiling and bubbling heat transfer under free and forced convection of liquid", Int. J. Heat and Mass Transfer, 22, 1979.
[5.1_2] Duignan M.R., Greene G.A., Irvine Jr T.F., "Heat transfer from a horizontal bubbling surface to an overlying water pool", Chem. Eng. Comm., 87, 1990.
[5.1_3] Bonnet J.M., "Thermalhydraulic phenomena in corium pools for ex-vessel situations: the BALI experiments", 8th Int. Conf. On Nuclear Engineering, 2000.
[5.1_4] Felde D.K., Kim H.S., Abdel-Khalik S.I., "Convective heat transfer correlations for molten core debris pools growing in concrete", Nucl. Eng. Des., 58, 1980.
[5.1_5] Greene G.A., "Heat, mass and momentum transfer in a multifluid bubbling pool", Advances in Heat Transfer, 21, 1991.
[5.1_6] Werle H., "Enhancement of heat transfer between two horizontal liquid layers by gas injection at the bottom", Nucl. Technology, 59, 1982.
[5.1_7] Veteau J.M., "ARTEMIS program: investigations of MCCI by means of simulating materials experiments", ICAPP’06, 2006.
[5.1_8] Epstein M., Petrie D.J., Linehan J.H., Lambert G.A., Cho D.H., "Incipiant stratification and mixing in aerated liquid-liquid or liquid-solid mixture", Chem. Eng. Science, 36, 1981.
[5.1_9] Casas J.L., Corradini M.L., "Study of void fractions and mixing of immiscible liquids in a pool configuration by an upward gas flow", Nucl. Technology, 99, 1992.
[5.1_10] Tourniaire B., Bonnet J.M., "Study of the mixing of immiscible liquids by sparging gas: results of the BALISE experiments", 10th NURETH, 2003.
[5.1_11] Farmer M.T., Lomperski S., Basu S., "Results of reactor material experiments investigating 2D core-concrete interaction and debris coolability", ICAPP’04, 2004.
[5.1_12] Alsmeyer H., "BETA experiment in verification to the WECHSL code: experimental result on the pool concrete interaction", Nucl. Eng. Des., 103, 1987.
[5.1_13] Seiler J.M., Froment K., "Material effects on multiphase phenomena in late phases of severe accidents of nuclear reactor", Multiphase Science and Technology, 12, 2000.
[5.1_14] Journeau Ch., Jegou C., Monerris J., Piluso P., Frolov K., "Phase macrosegregation during the slow solidification of prototypic corium", 10th NURETH, 2003.
[5.1_15] Bradley D.R., "Modelling of heat transfer between core debris and concrete", ANS Proceedings of the 1988 Nat. Heat Tansfer Conf., 1988.
[5.1_16] Tourniaire B., "A heat transfer correlation based on a surface renewal model for molten core concrete interaction study", Nucl. Eng. Des. 236, 2006.
[5.1_17] Blottner F.G., "Hydrodynamics and heat transfer characteristics of liquid pools with bubbles agitation", NUREG Report CR-0944, 1979.
[5.1_18] Spindler B., Tourniaire B., Seiler J.M., Atkhen K., "MCCI analysis and applications with the TOLBIAC-ICB code based on phase segregation model", ICAPP’5, 2005.
[5.1_19] Cranga M., Fabianelli R., Jacq F., Barrachin M., Duval F., "The MEDICIS code, a versatile tool for MCCI modelling", ICAPP’5, 2005.
[5.1_20] Bradley D.R., Gardner D.R., Brockmann J.E., Griffith R.O., "CORCON-MOD3: an integrated computer model for analysis of molten core concrete interactions", NUREG Report CR-5843, 1993.
[5.1_21] Tourniaire B., Spindler B., Coulon V., Augé A.C., Cranga M., "Transfert de chaleur entre le bain de corium et le béton en cours d’interaction corium/béton – Analyse du groupe de travail CLARA", Rapport CEA/DEN/DTN/SE2T/LPTM/05-105 – 2005 – Non-public reference.
[5.1_22] Cheynet B., Chevalier P.Y., Fischer E., "Thermo suite", Calphad, 26, n°2, pp. 167-174 - 2002.
- 111 -
CHAPTER 6 : IN-VESSEL AND EX-VESSEL RETENTION AND
COOLING OF CORIUM
6.1 IN-VESSEL RETENTION
6.1.1 DEFINITION, PHENOMENOLOGY AND SAFETY CHALLENGES
In-Vessel Retention (IVR) requires that the integrity of the second containment barrier, the reactor
vessel, is maintained in the event of a severe accident with a meltdown of the reactor core and corium
possible relocation to the bottom of the vessel.
In-vessel retention may be achieved by reflooding the reactor cooling system to halt the progress of
the core meltdown, or by flooding the reactor pit in order to remove heat from the vessel once corium
has migrated to the lower plenum, and hence prevent a rupture of the vessel.
The possibility of in-vessel retention (IVR) first became apparent following the reactor accident at
Three Mile Island 2 (TMI 2) in 1979. Post-accident examination of the reactor after 1986 [6.1_1]
revealed the remains of part of the core (around 20 tonnes of corium) at the bottom of the vessel
which had remained intact. The ability of the vessel to withstand the thermal load resulting from the
residual power released by the corium has been attributed [6.1_2] to the fact that the core relocation
took place under water (reactor vessel flooded and under a pressure of around 100 bar) and that water
was able to circulate through a space that had formed between the corium and the walls of the bottom
of the vessel (gap cooling).
In relation to the reflooding of the reactor cooling system, it must be stressed that the version of the
Severe Accident Management Guide (SAMG) currently in force in France recommends restrictions on the
injection of water in situations where the Safety Injection flow rate is considered insufficient to
remove the residual power. The operator is recommended to wait for an hour and a half after the
SAMG entry criteria have been reached before releasing the water at a low flow rate. These
restrictions are due to the various safety risks that may occur during reflooding, including:
• Massive generation of steam associated with the production of hydrogen and pressurisation.
• Risk of a steam explosion when water comes into contact with molten material.
• Continuation of the meltdown despite the injection of water.
• Release of fission products.
In more concrete terms, the reflooding may occur with the core in any condition (fuel rods intact,
slightly degraded with ballooning or flows of molten material, layers of debris, corium pool, etc.).
Studies of the TMI2 accident have resulted, fifteen years later, in a number of proposed reactor designs
using the concept of retention by additionally submerging the reactor pit in order to transfer heat from
the corium outside of the vessel as a safety mechanism. These include, in particular:
- 112 -
• the Westinghouse AP600 and AP1000 [6.1_3];
• the KAERI APR1400 (South Korea);
• the European ESBWR.
6.1.2 IN-VESSEL RETENTION BY FLODING THE PRIMARY CIRCUIT
6.1.2.1 Physical phenomena involved and the current state of knowledge
6.1.2.1.1 Situations in which the fuel rods are intact or only slightly degraded
In cases where the fuel rods are intact or only slightly degraded (temperatures below around 1800 °C),
a considerable production of hydrogen is very likely as has been demonstrated by the available test
results (QUENCH). The oxidation kinetics are determined by the flow rate of the steam passing through
the core, which is in turn determined by the rate of advancement of the water front. Currently
available codes can satisfactorily model the progression of the water front for intact geometries up to
the point at which the first deformations or molten material flows begin to appear. The main unknowns
are the geometry of the fuel rods at the time of reflooding and the associated heat exchange
relationships. In this type of configuration, it is probable that the progression of the degradation of the
core will be halted, provided that the flow of water is sufficient, and that the reflooding itself does not
result in thermal shock causing mechanical destruction and the collapse of a major proportion of the
fuel. The characteristics of the resulting debris bed could be such as to prevent any further cooling.
The criteria for a collapse of the fuel and the scale of the resulting debris remain unknown.
6.1.2.1.2 Situations with debris beds
Once the fuel rods have collapsed, the configuration of the core becomes much more complex than in
the situation in which the fuel rods are intact or only slightly degraded. In particular, it becomes a
porous environment which greatly increases the pressure differentials and makes it much harder for
water to penetrate the collapsed areas. If the water cannot reach certain areas of the debris bed, it is
generally assumed that these areas continue to rise in temperature until their melting point is reached
and a molten pool is formed. It should also be noted that a debris bed can form in the lower head when
the molten corium flows into water. The maximum power that can be extracted from a debris bed by
water before it dries out and melts is known as the critical flux. It is expressed in terms of the flux
through 1 m2 of the upper surface of the debris bed. At the present time, the phenomenology of
reflooding layers of debris is understood to a satisfactory degree. However, the many models that have
been developed since the 1980s are mainly based on 1D experimental studies. A number of
uncertainties therefore remain in relation to the extension of these results to multi-dimensional
geometries (EDF SILFIDE [6.1_23]). In particular, a number of simulations and experimental
observations, regrettably incomplete, suggest that the power capable of being extracted from a debris
bed is higher in a multi-dimensional configuration (by a factor of two) and that, even after drying, the
rate of flow of steam through the debris bed is still sufficient to maintain part of the debris below its
melting point. The uncertainties surrounding these phenomena remain, however, considerable. In the
case of TMI2, there is still no explanation of why the debris melted in the TMI2 core despite reflooding
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at high pressure (the critical flux is approximately proportional to the square root of the pressure). The
reflooding of a highly degraded core or a debris bed remains the most poorly modelled phenomenon in
the currently available codes.
Multi-dimensional models are currently available to reproduce the phenomenology in a debris bed. The
main existing models are incorporated in the ICARE/CATHARE (IRSN), WABE(IKE/GRS) and MC3D
(CEA/IRSN) codes. The multi-dimensional effects are still to be confirmed experimentally at a large
enough scale to enable reliable measurements to be made of the local temperatures and of the
production of steam during reflooding. A preliminary project is currently in preparation at the IRSN
with the aim of assessing the relevance and feasibility of carrying out this type of test.
6.1.2.1.3 Situation with the presence of a liquid corium pool
During the TMI2 accident the reactor vessel was filled with water at the moment when the molten
corium began to flow. Around 10 tonnes of oxidic corium (~1 m3) migrated to a compact mass in the
lower head and around 10 further tonnes of debris was deposited in a layer around and above the
compact corium mass. An analysis of samples taken from the reactor vessel has shown that the
temperature of the inner surface of the vessel in contact with the corium mass rose to around 1100 °C
while the external surface reached around 800 °C. The internal pressure was around 100 bar. The
vessel then cooled very slowly. All the thermal simulations indicate that, assuming a perfect contact
between the corium mass and the vessel, this temperature should have continued to rise until the
vessel ruptured. The suggested explanation is that a gap formed between the corium and the vessel.
The formation of this gap was due to two phenomena:
• water present in the porous steel boiled preventing contact between the corium and the steel;
• the solidifying corium and the vessel that was becoming hotter expanded at different rates.
The infiltration and recirculation of water within this gap would have cooled the vessel sufficiently to
prevent it rupturing.
A number of experimental studies have been carried out in order to investigate this phenomenon:
• Small-scale tests of the flow of molten material into water at the base of a reactor vessel in order
to reproduce and analyse the mechanism experimentally. Tests of this type were carried out by
Fauske et al. (FAI tests) [6.1_11], in Japan (JAERI) and in Korea (KAERI) [6.1_12]. All these tests
were carried out using alumina thermite to simulate the corium.
• Tests to analyse the maximum power that could be evacuated by water in a gap where the limiting
mechanism is the critical flux were carried out by IBRAE (Russia) [6.1_13], Siemens (Germany)
[6.1_14] and KAERI (Korea) [6.1_15].
The conclusion at the present time is that the gap could only be formed by boiling water and that the
differential expansion mechanism is not a likely source. One interpretation made by the CEA [6.1_4],
shows that the possibility of power being evacuated by water in the gap is also unlikely at the low
pressure used as the reference case for severe accidents in a PWR. For example, with a gap of 3 mm
and a pressure of 1 bar, the critical flux is around 0.02 MW/m² compared with the 0.5 MW/m² which
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would be have to be evacuated assuming that half the mass of the core relocates in the lower head.
The present conclusion is that there are too many intrinsic limitations (requirement for the permanent
presence of water in the lower head, low critical heat flux, closure of the gap by melting of the vessel,
etc.) to accept that the mechanism of cooling by the formation of a gap is credible in the vast majority
of cases at low pressure.
In the light of current knowledge, it would appear difficult to show that the reflooding of the reactor
cooling system would avoid a breach in the reactor vessel at the moment when a debris bed forms in
the core, if the primary circuit is depressurised and in the absence of reflooding of the reactor pit.
6.1.2.2 Experimental programmes
A brief description of the main planned, in progress or recently carried out experiments is given below:
• LOFT-FP: This project, completed in 1985, was carried out by INEL (USA) on a cluster of 121 UO2
fuel rods with neutron heating (in-pile). The test investigated the degradation of the components
and the release of fission products at local temperatures of up to 2400 K. Cooling was initially by
means of steam followed by reflooding with water.
• PBF-SFD: This project, completed in 1985, was carried out by INEL (USA) on a cluster of 32 non-
irradiated UO2 fuel rods with neutron heating (in-pile). This test was also designed to study the
degradation of the components and the release of fission products, but in this case the local
temperatures reached between 2600 K and 3100 K. Cooling was initially by means of steam
followed by reflooding with water in some of the tests.
• CORA: This project, completed in 1993, was carried out by FZK (Germany) on a cluster of 25 non-
irradiated UO2 fuel rods with electric heating (out-of-pile). These were degradation tests at local
temperatures of up to 2200 K. Cooling was initially by means of steam followed by reflooding with
water in some of the tests ([3.1_13], [3.1_14]).
• QUENCH: This project was completed in 2005. A further two tests are intended to be carried out
but the funding is not guaranteed. These tests were carried out by FZK (Germany) on a cluster of
25 non-irradiated ZrO2 fuel rods with electric heating (out-of-pile). These were degradation tests at
local temperatures of over 2000 K. Cooling was initially by means of steam followed by reflooding
with water or steam.
• ISTC 1648 (QUENCH): This ISTC project was carried out by NIIAR (Russia). The objective of the test
was to study reflooding under post-LOCA conditions and the tests consisted of three tasks:
Degradation and reflooding tests on a section of irradiated VVER fuel, reflooding tests on a new
VVER assembly of 31 fuel rods, and the development of a reflooding module for the SVECHA codes
by the IBRAE (the Nuclear Safety Institute of the Russian Academy of Sciences).
• PARAMETER: This ISTC project, operated by LUCH (Russia), will investigate the degradation of VVER
assemblies of 19 non-irradiated prototypical fuel rods (similar to QUENCH, but with UO2 pellets).
The test is planned to simulate reflooding from above and from below at temperatures of up to
2300 K. Two tests are planned. One of these is a degradation test with reflooding from above and
slow kinetics. The second will use reflooding from both above and below.
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6.1.2.3 Review and R&D requirements
Three documents ([6.1_22], [6.1_24] and [6.1_25]) summarise the current status of knowledge relative
to the various risks for safety arising from the reflooding of the core of a PWR reactor. The documents
identify the main remaining uncertainties and the requirements for R&D.
In terms of thermalhydraulics and fuel, the main requirements are a realistic assessment of the cause
and effect relationships between phenomena, and the development of a simulation tool capable of
reproducing them. This in turn requires more accurate and detailed models of transient situations, in
particular the two key transients, degraded core � molten pool, followed by pool in the core � pool
in the lower head. Recent models used in current codes are based on a multi-dimensional description in
order to provide a better simulation of the transients affecting the materials inside the reactor vessel.
However, there is a marked lack of experimental results capable of characterising these phenomena,
mainly due to the increasing problems of representativity associated with scaling effects.
At the present time, the three main points still requiring studies are:
1. The changes that occur in a heavily degraded core when it is reflooded (is cooling possible?).
There is also a need for tests to characterise the progression of the water front as a function of
the geometric configurations and the parameters characterising the debris formed from
irradiated fuel. The distribution of the size of elements of the debris would be an important
result of these tests, and this result could be obtained from out-of-pile tests using irradiated
fuel rods (ISTC QUENCH project).
2. The changes taking place in a debris bed as it transforms into a molten pool (if cooling is not
possible). This requirement is particularly concerned with the phenomena of dissolution and
oxidation and their impact on the stratification of the pool. This area of study is one of the
objectives of the CORTRAN project.
3. The arrival of corium in the lower head, especially when it is filled with water. This
requirement is concerned with the fragmentation, oxidation and cooling of the corium as it
comes into contact with the water, and its spread into the lower head. This point is currently
being investigated as part of the programmes dealing with steam explosions.
The interest of in-pile tests, albeit necessarily carried out on a small or medium scale, will be with the
representativeness of the specific power and the use of real fuel, especially with a significant burnup,
with the presence of the fission products in their true physical and chemical state just prior to an
accident. It should be noted that the release of fission products during reflooding is discussed in
Chapter 7.
6.1.3 IN-VESSEL RETENTION BY FLOODING THE RACTOR PIT
6.1.3.1 General approach: Orders of magnitude
In-vessel retention is currently understood to mean the possibility of retaining the corium in the
reactor vessel while maintaining the integrity of the reactor vessel (i.e. maintaining the second
containment barrier). It may, however, be possible to extend this concept to include the retention of
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most of the mass of corium, with a controlled discharge of part of the corium into the reactor pit. In
this document, the discussion is limited to the concept of maintaining the integrity of the reactor
vessel.
In order to demonstrate that the integrity of the reactor vessel would be maintained in the event of a
core meltdown and the migration of all or part of the core to the lower head, a number of other points
also have to be demonstrated. These include:
• A demonstration that the reactor vessel does not melt and remains intact at all points, especially
in areas of high thermal stress.
• A demonstration that the reactor vessel is mechanically strong enough to withstand a steam
explosion inside the reactor vessel.
An order of magnitude calculation shows that the volume of the core in a PWR 900 MWe when
compacted would occupy close to the full hemisphere of the lower head. Assuming a residual power of
20 MW uniformly distributed over the surface, the heat flux would be around 0.8 MW/m2. This heat flux
is extremely high and could only be evacuated by efficient convection at the external surface of the
corium pool or the reactor vessel. Even if this could be achieved, part of the reactor vessel wall would
melt leaving a residual thickness of just a few centimetres. A simple calculation also shows that, if this
flux cannot be evacuated efficiently (e.g. due to the external dry-out), the reactor vessel would melt-
through within only a few minutes. A system must therefore be provided to extract the heat from the
corium pool at all points on the reactor vessel. However, this condition alone is not sufficient. It is also
necessary to ensure that the residual thickness of the reactor vessel wall is sufficient to maintain its
mechanical integrity. The low residual thickness of the steel reactor vessel would not be capable of
withstanding a high pressure in the reactor cooling system and the primary circuit would therefore
have to be depressurised. The demonstration of mechanical integrity must therefore be carried out at
the final pressure, after depressurisation, taking full account of the thermo-mechanical stresses
induced by the power released from the corium. This problem also arises in the case of a pressure peak
resulting, for example, from a steam explosion due to water from the reactor cooling system coming
into contact with a corium pool that has migrated to the lower head [6.1_10].
6.1.3.2 Analytical approach and corium configurations
The approach initially adopted was to try and demonstrate that the integrity of the reactor vessel
would be maintained under the worst case conditions, i.e. with no internal reflooding and with the
entire mass of corium migrated to the lower head. Of all the possible conditions, these would produce
the highest heat flux transmitted to the vessel. The aim was to demonstrate that the integrity of the
vessel would be maintained even under the most pessimistic scenarios.
The configuration of the corium in the lower head determines the distribution of heat flux over the
walls of the vessel. An attempt was made to define these configurations by distributing the core
inventory (oxides, zirconium and steel) in molten layers according to their respective densities.
However, a number of different configurations were still possible depending on the assumptions made.
The main assumptions were as follows:
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• The degree of oxidation of the zirconium (between around 25% and 80% depending on the
scenario).
• The mass of the molten steel (between a few tonnes and several tens of tonnes).
• The distribution of solid layers (debris and crust) during the remelting of the corium in the lower
head.
One of the most critical configurations for the reactor vessel is that shown in Figure 6.1-1. In this
configuration, the molten metals (density ~6500 kg/m3) float on top of the molten corium oxide
(density ~ 8000 kg/m3). This is the limiting situation that has been most studied and most of the
problems of the boundary conditions and heat transfers within the pool have been resolved. This is also
the configuration that was used in the external vessel cooling studies (CHF). This will be referred to in
the remainder of this discussion as the reference configuration.
Figure 6.1-1: The configuration of the corium pool in the lower head with external cooling
6.1.3.3 Analysis of the worst case configurations
6.1.3.3.1 Distribution of heat flux and cooling for the worst case configurations
For a given configuration of the corium, the distribution of the heat flux depends on the conditions at
the boundary between the molten mass and the solid wall (crust or steel wall of the reactor vessel),
and on the natural convection transfer coefficients within the liquid mass. A number of recent studies
have attempted to define the temperature conditions at the boundary of a corium pool. A summary of
these studies is given in [6.1_5]. The main difficulty is that the molten material consists of a mixture of
oxides and/or metals. These mixtures are not eutectic, i.e. they do not have a single melting point.
Melting takes place within a temperature interval which may be relatively wide and which depends on
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the composition of the mixture. It was originally thought that the existence of such a melting interval
would result in the presence of a mushy zone between the liquid pool and the solid crust surrounding
it. This mushy layer could affect heat transfers in some unknown manner that could not be studied by
means of the thermalhydraulic tests on pure substances such as water that are usually used to analyse
heat transfer within a pool. The OCDE RASPLAV programme was launched with the aim of resolving this
issue. The CEA has shown [6.1_5] that, under steady-state thermal hydraulic conditions (i.e. once the
heat flux has stabilised), such a mushy zone could not exist. Once the heat flux has stabilised, and
when the external conditions allow, the thickness of the solid crust is constant (i.e. the velocity of the
advance of the solidification front is zero). In this case, the interface temperature between the liquid
and the solid tends towards the liquidus temperature corresponding to the composition of the liquid
mixture. The boundary between the solid and the liquid is clearly defined. This conclusion has been
confirmed experimentally in a number of tests (PHYTHER at the CEA (described in [6.1_5]), then
RASPLAV [6.1_16] and SIMECO (KTH Sweden). The solidification transient has been studied at the IRSN
[6.1_17]. This interface condition also applies to a metal layer. If the liquidus temperature
corresponding to the composition of the metal layer (consisting mainly of steel and zirconium) is lower
that the melting point of the steel, the steel may be dissolved by the molten metal. The temperature
at the interface with the solid steel of the reactor vessel will therefore tend towards the liquidus
temperature corresponding to the composition of the liquid metal layer. It is clear that, depending on
the composition of the liquid metal layer, the temperature at the inner surface of the reactor vessel
wall could be well below the melting point of the steel. The interface temperatures between the liquid
and the solid are calculated using thermodynamic codes (such as GEMINI) as a function of the
composition of the liquid layer under consideration. The corollary of this behaviour at the interface is
that the pool is completely liquid and that the heat transfer equations derived from tests on simulant
materials (pure substances such as water) are transposable to real materials.
Heat transfer correlations have been taken from tests on simulant materials (BALI, COPO, ACOPO,
RASPLAV Salt, etc.) for a range of different geometric configurations [6.1_9]. Work has also been
carried out to validate the CFD simulation codes for natural convection.
6.1.3.3.2 Orders of magnitude of heat flux and flux concentration (or focusing effect)
Given the worst case configuration shown in Figure 6.1-1 and assuming that the entire oxidic mass of
the core is relocated in the lower head, the residual power is approximately distributed as follows:
• Around 50% of the residual power dissipated in the oxidic pool is transmitted to the base of the
reactor vessel.
• The remaining 50% is transmitted from the oxidic pool to the liquid metal layer.
In the absence of water inside the vessel, the metal layer will transmit most of the power (arising from
the oxidic pool and from its own dissipation, i.e. around 60% of the residual power) to the steel wall of
the reactor vessel in contact with the liquid metal. The metal layer effectively concentrates the heat
flux on the surface of the reactor vessel wall in contact with the metal layer (hence the
term ‘focussing effect’). To a first approximation, the heat flux in this region is inversely proportional
to the thickness of the metal layer. The thickness of the layer must be greater than around 50 cm
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(equivalent to 50 tonnes of steel) in order for the heat flux to fall below around 1.5 MW/m². The
integrity of the vessel can only therefore be guaranteed if the flux transmitted to the vessel can be
extracted by natural two-phase convection by means of cooling water boiling outside the vessel. This
naturally raises the question of the critical flux at the external surface of the reactor vessel wall.
6.1.3.3.3 Critical flux in the external natural water circulation
The limiting factor is therefore the critical flux associated with the external cooling of the reactor
vessel, particularly in the vicinity of the metal layer. It is for this reason that considerable work has
been done to determine this critical flux, and to attempt to increase it. A number of tests have been
carried out using a variety of approaches. Amongst these, the most interesting at large scale are ULPU
(UCSB) [6.1_19], SULTAN (CEA) [6.1_18] and KAIST (Korea).
The first factor affecting the critical flux is the water recirculation system in the reactor pit in which
the water is recirculated by natural convection. Simply reflooding the reactor pit is not sufficient. The
water must be made to recirculate in such a way as to maximise the flow of liquid along the walls of
the reactor vessel. This implies the existence and geometric optimisation of an ascending hot leg (the
reactor vessel) and a cold leg maximising the difference in the weights of the water columns in order
to form a strong motor for recirculation, while minimising pressure losses. The maximum critical flux is
obtained when the steam quality remains negative in the heated zone, i.e. when the flow is sufficient
to restrict boiling to the wall in the heated zone. However, it is also necessary for the boiling to
become saturated (positive quality) above the heated zone in order for the void effect to develop.
There exists an optimum flow rate above which the aspirant effect of the void will be insufficient and
below which saturated boiling will occur in the heated zone and he critical heat flux will decrease. The
existence of this optimum flow limits the maximum critical flux to a value of around 1.5 MW/m².
An analysis of the results of the tests cited above shows a wide variation in the values of the critical
flux. ULPU shows values close to 2 MW/m2 (but with a wide variation in the experimental results),
while the SULTAN and KAIST tests give values for the critical flux at a vertical wall of between 1.2 and
1.5 MW/m2.
A number of methods have been proposed for increasing this critical flux. Many of these are concerned
with effects associated with the treatment of the external surface of the reactor vessel. According to
some authors [6.1_6], a deposit of porous metal (shoopage) on the external surface of the reactor
vessel would result in a significant increase in the critical flux (by a factor of up to two times). There
is, however, a lack of agreement as to the effectiveness of this approach and experimental verification
at large scale would be necessary.
6.1.3.3.4 Limitation associated with the mechanical strength of the residual thickness
of the vessel
For a heat flux of 1.5 MW/m², the residual thickness of the reactor vessel that has to withstand the
mechanical stress (i.e. the thickness within which the temperature is less than 600 °C) is no more than
1 cm. This thickness is sufficient to withstand pressures of several tens of bar. An increase in the
critical flux would lead to a reduction in this thickness (they are inversely proportional) with a
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consequent reduction in the maximum pressure that the vessel can withstand. These considerations
make the work seeking to demonstrate flux values of more than 2 or even 3 MW/m2 far less interesting.
6.1.3.3.5 Limitation associated with the minimum mass of molten steel
In the light of the preceding discussion, one of the key points in the approach is the mass of steel
available to form a metal pool on the surface of the corium. At values of critical heat flux between 1.3
and 1.5 MW/m2, the minimum depth of molten steel needed to avoid the focusing effect would be
around 50 to 60 cm for a 1000 MWe PWR. Given the geometry of this type of reactor, such a depth
corresponds to a mass of molten steel of around 50 to 60 tonnes. Studies on the AP600 and AP1000
have shown that a meltdown would release a sufficient quantity of steel from the following structures:
• Internal structures in the lower head.
• The reactor vessel walls.
• Structures in the lower section of the core.
Work carried out as part of the OECD MASCA programme [6.1_20] has shown that the complex physical
phenomena occurring could reduce the available mass of metal and this has thrown doubt on the
figures for the AP600 and AP1000. These phenomena include:
• Trapping of some of the liquid metal (from the lower internal structures, for example) in the solid
oxidic debris.
• Migration of part of the metal in the lower head as a result of physical and chemical effects. For a
fixed metal inventory, this would naturally lead to a reduction in the depth of the upper metal
layer (see Figure 6.1-2).
The physical and chemical effects arise from the presence of unoxidised zirconium in the metal phase.
This zirconium is likely to react with the uranium dioxide present in the oxidic phase forming a metallic
uranium phase. If this mixes with the molten steel, it could result in a liquid metal layer that is denser
than the oxidic pool causing it to stratify at the bottom of the lower head. It is now possible to take
account of this phenomenon in in-vessel retention studies. The use of thermodynamic codes (GEMINI2-
Thermodata) makes it possible to calculate the compositions of complex mixtures of oxides and metals
in equilibrium at a range of temperatures. The estimated densities of the phases resulting from these
calculations can be used to estimate the mass of metal that would stratify below the oxide pool.
Subtracting this from the original steel inventory gives the mass of metal present in the upper layer.
This model has been developed by the CEA and IRSN with the aim of quantifying the masses of metal
needed to ensure that the flux transmitted from the metal layer to the vessel does not exceed the
critical flux [6.1_7]. The method has been applied to a number of reactor types including existing
French PWRs, the AP600 and AP1000 reactors, and the proposed APR1400 reactor in Korea. The results
of these studies show that a critical parameter is the fraction of unoxidised zirconium present in the
pool. The greater this fraction, the greater the mass of metallic uranium produced and the greater the
proportion of the total mass of metal that migrates to the bottom of the lower head. The complexity of
the demonstration of in-vessel corium retention therefore increases with the mass of available metallic
zirconium. These studies also show that the results of the simulations are strongly affected by the
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choice of databases to be used in the thermodynamic calculations and the values of the critical flux at
the outer surface of the reactor vessel. In the specific case of the AP1000, the calculations show that,
in some configurations, the mass of metal needed for in-vessel retention is greater than the mass of
available steel assumed in the American studies used to support the concept.
Molten oxidic pool
Light metal layer
Water Heavy metal layer
Oxidic crust
Vessel wall
Radiative heat transfer
Figure 6.1-2: In-vessel recuperation configuration with inverted metal stratification
These worst-case studies were carried out under steady-state conditions with a fixed pool
configuration. The formation of the metal layers and oxide pool implies transients in the growth of the
metal layer and an increase in the power from the oxide pool, both of which imply that the critical flux
could be reached during these transients.
6.1.3.4 Developments in the in-vessel retention approach in the event of flooding of the
reactor pit
The use of worst-case situations does not always demonstrate that the integrity of the reactor vessel
will be maintained in all cases. This approach needs to be expanded to take account of the following:
• more realistic corium configurations,
• the possibility of external flooding of the reactor pit and internal reflooding within the reactor
vessel,
• situations that may lead to a partial discharge of the corium in the reactor pit, provided that it can
be shown that these situations are controllable,
• a range of reactor situations (e.g. when the reactor is shut down and the residual power is lower).
Such an approach must be linked to a series of probabilistic considerations as part of a probabilistic
safety assessment.
An injection of water onto a corium pool would eliminate the focusing effect. It has been shown (ANAIS
tests carried out at CEA [6.1_8]) that this results in the solidification of the surface metal layer and
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that a considerable portion of the residual power is transmitted to the reflooding water. The ANAIS
tests have also shown that the risk of a steam explosion is limited, under these conditions, to the area
where the jet of water impacts the liquid corium. A major explosion following an accumulation of
water is avoided as the surface of the corium pool normally solidifies very quickly before a large
quantity of water has accumulated in the lower head.
The description of the phase during which the corium migrates to the lower head and remelts needs
improvement (developments of ASTEC and DIVA in progress). These studies will have to rely heavily on
modelling work as the experimental work is effectively limited to material effects and phenomenology
(MASCA, CORTRAN). There are many representativeness problems associated with the effects of scale,
power distribution and boundary conditions.
6.1.3.5 Possible technological improvements associated with in-vessel retention
6.1.3.5.1 Deposit of a ceramic material on the inner surface of the reactor vessel
walls
The deposition of an internal ZrO2 ceramic coating with a thickness of a few millimetres has been
considered in some projects, including the APR 1400 [6.1_21]. The aim of this ceramic coating is to
achieve the following:
• To avoid any breach in the vessel wall due to the impact of a jet of superheated corium (the
blowtorch effect).
• To form a refractory barrier to the corium.
The protection against the blowtorch effect may be effective, although it has been shown that it would
not necessarily be useful as a crust of solid corium would form at the point of impact of a corium oxidic
jet, and a molten metal jet would not, in principle, continue for a long enough period of time to break
through the reactor vessel wall.
The refractory barrier effect does not exist. This is because:
• A crust of solid oxide forms anyway between the corium oxide pool and the vessel once steady-
state thermal conditions are reached.
• The thickness of the ceramic is not stable when the underlying steel wall melts (under steady-state
conditions, the residual thickness of the reactor vessel depends on the heat flux coming from the
corium pool).
6.1.3.5.2 Installation of a core catcher under the reactor vessel (or a secondary
vessel)
The design of a secondary vessel or a core catcher underneath the VVER-1000 reactor currently being
built by the Russians at Tian Wan in China (see Figure 6.1-3) makes use of sacrificial materials
consisting mainly of steel, an iron oxide ceramic (Fe2O3) and alumina (Al2O3). The effect of this
material, when in place in the core catcher in sufficient quantity, is as follows:
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• It oxidises the remaining zirconium without generating hydrogen (by transforming Fe2O3 and Zr into
ZrO2 and Fe).
• It reduces the density of the oxidic phase (consisting of a mixture of UO2, ZrO2, FeO and Al2O3) to a
value less than that of the steel. Under these conditions, all the steel sinks below the oxide pool
and the flux concentration or focusing effect is eliminated.
• It increases the volume of material and hence reduces the mean heat flux transmitted to the
vessel.
Figure 6.1-3: The Tian Wan core catcher
6.1.3.5.3 Specific mechanisms to increase the critical flux
The CEA has developed a range of technological proposals with the aim of increasing the critical flux at
the external surface of the reactor vessel by a potential factor of between two and five times while
maintaining the mechanical integrity of the vessel. Such systems may be envisaged for future high
power reactors, but this implies modifications to the structures within the reactor pit.
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6.2 COOLING OF THE CORIUM UNDER WATER DURING THE MOLTEN CORIUM-
CONCRETE INTERACTION
6.2.1 DEFINITION AND OVERALL PHENOMENOLOGY
One strategy that has been considered with the aim of speeding up the cooling of a corium pool and
stabilising it during a Molten Corium-Concrete Interaction (MCCI) is to inject water to cover the corium
in the reactor pit.
The high solidification temperature of corium (around 2400 K in the case of corium with a low concrete
content) results in a crust forming at the corium surface due to the transfer of heat from the corium to
the reactor pit by radiation. This crust will naturally be thicker if the corium is covered with water, but
this thicker crust will also have the effect of insulating the corium pool from the water and limiting the
flow of heat from the corium to the coolant. Order of magnitude calculations have shown that, if heat
transfer between the corium pool and the water is only by conduction through the crust, any slowing of
the concrete ablation due to the injection of water is minimal. In order for the corium to be cooled
effectively under the water, other heat transfer mechanisms in addition to conduction must be
present. The R&D work carried out on this topic (experimentation and modelling) aims to identify and
quantify the efficiency of these mechanisms.
6.2.2 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES
6.2.2.1 Experimental programmes
The main experimental programmes on this topic are those carried out at the Argonne National
Laboratory (ANL) since 1989 using real materials (MACE [6.2_1], MSET [6.2_2], and OECD-MCCI [6.2_3].
This latter programme is itself divided into three sub-programmes, SSWICS, MET and CCI. The CEA
PERCOLA programme [6.2_4] is also targeted in this area, but uses simulant materials. The ANL
programmes include both global experiments and more analytical tests.
6.2.2.1.1 MACE and CCI tests
These global tests aimed to study the coolability of corium during an MCCI using prototypical materials
with water injected at the surface of the pool. Three tests were carried out in 1D configurations with
ablation of the bottom of the vessel only (M1b, M3b and M4) and four tests were carried out in 2D
configurations with ablation of the bottom and sides of the vessel (M0, CCI-1, CCI-2 and CCI-3). The
following procedure was used in all the tests: The corium pool was formed by direct heating or by a
thermite reaction (melting a corium sample by means of an exothermic chemical reaction), the
ablation of the concrete took place via an MCCI, first with no water and then following injection of
water when a specific criterion was reached. The effectiveness of the water injection was assessed by
comparing the speed of ablation of the concrete before and after the water injection, and by
measuring the heat flux extracted at the surface of the corium pool indirectly via the quantity of
steam generated. The measured temperature of the pool also provided an indication of the effect of
- 125 -
the water injection. Care must be exercised when transposing these results to the reactor case as a
number of aspects of the tests were non-representative. In particular, the corium was heated by power
dissipated in the liquid corium by the Joule effect (power applied to the liquid) while in the reactor
case, the residual power is shared between the liquid and the solid.
These tests have revealed several mechanisms by which the water can cool the corium.
• A number of tests (M0, M3B and CCI2) showed that some of the corium pool was ejected above the
crust, entrained by gasses produced from the decomposition of the concrete. This formed a debris
bed with a granulometry of around one centimetre. The analytical tests also showed that it is
possible to cool debris of this size with water.
• The temperature gradients and thermo-mechanical stresses cause the crust to crack allowing water
to penetrate. This phenomenon, known as ‘water ingression’, is likely to propagate, cooling the
entire mass of corium. However, recently developed models [6.2_5], [6.2_6] show that the cracks
resulting from the temperature gradient are too small for a corium pool to be cooled effectively by
this mechanism alone. Nevertheless, it does play an important part in the thermo-mechanical
behaviour of the crust as the cracks reduce its mechanical strength.
• Finally, the surface of the corium is cooled by direct contact between the water and the liquid
corium. This phenomenon is highly transient, but it could occur during sudden mechanical failure
of the crust, or at the moment when the water is first injected onto the corium pool. This effect is
likely to be favoured by the scale of the experimental configuration.
However, it is not currently possible to arrive at a firm conclusion as to the effectiveness of cooling a
corium pool during an MCCI by injecting water on top of the pool in a reactor situation, although it
does appear that the various phenomena described above could slow down the rate of ablation of the
concrete. These tests encountered a number of technological problems which limited the range of the
experiments and the study of the phenomena involved.
• The small scale of the tests resulted, in most cases, in the formation of a crust on the top of the
pool which anchored to the sidewalls of the test vessel. As the concrete ablation front progressed,
a gap opened up between the liquid corium and the crust. This limited the effectiveness of the
ejection phenomenon. Given the diameter of the reactor pit in a real reactor, it is likely that the
crust would remain in contact with the liquid corium.
• The method of heating the corium by passing a current through it meant that it was not possible to
heat the solid crusts. The solidification observed during the tests is not therefore representative of
that which would occur in a real reactor.
6.2.2.1.2 MSET test
The purpose of the MSET test, carried out in 2001, was to study the phenomenon of corium ejection
through the crust that was observed during the MACE tests. This test was carried out using prototypical
materials without ablation of the concrete and with water injection to the top of the pool. The release
of gas was simulated by passing a gas at a controlled flow rate through a porous material at the bottom
of the corium pool.
- 126 -
The MSET test resulted in the formation of a debris bed, but showed that no ejection took place at
superficial gas velocities below 10 cm/s. This naturally raises questions regarding the effectiveness of
this mechanism in reactor conditions where the long term superficial velocity is below 5 cm/s. An
analysis of the results revealed that the probable causes of this behaviour were as follows:
• Anchoring of the crust, with the formation of a gap between the pool and the crust.
• The likelihood of a large solid fraction as the temperature of the pool was well below the liquidus
temperature.
6.2.2.1.3 SSWICS tests
The SSWICS tests [6.2_7] were carried out using prototypical materials and were aimed at a study of
mechanism whereby water penetrates the crust via thermo-mechanically induced cracks during an
interaction under water ("water ingression"). When this mechanism is occurring, it is assumed that
cracks form in the upper crust and increase its thickness by increasing the solidified mass.
These separated effects tests were carried out under transient conditions without heating the corium
pool. The pool was produced by a thermite reaction and lay over an inert basemat (no ablation of the
basemat). Water was gradually injected onto the corium pool and the cooling kinetics was studied by
measuring the vaporisation kinetics. The efficiency of the water penetration was assessed by
comparing the flux extracted during the tests with that obtained by transient conduction alone. The
permeability of the crust was measured after completion of the test and this data was used to evaluate
the critical heat flux using dedicated models.
The series of seven tests provided a quantitative measurement of the influence of the type of concrete
(siliceous or LCS), the composition of the corium pool (between 4% and 25% of concrete by weight), and
the pressure (1 to 4 bar). The corium slugs obtained following the experiment were sectioned and
tested for their mechanical strength.
The main results of the SSWICS tests were as follows:
• The tests confirm that an effect due to the cracking of the crust and the penetration of water into
these cracks do exist. This effect was only significant low concrete concentrations below 15% by
weight. This would require the prompt injection of water immediately after the relocation of the
corium into the reactor pit in the event of an accident. This conclusion is also subject to
reservations as the tests were carried out without any injection of gas. A counter-flow of gas would
limit the penetration of water into the cracks and hence the effectiveness of the mechanism. The
superficial gas velocity is also greatest at the start of the interaction when the phenomenon would
appear to be at its most effective. It should also be noted that these tests took no account of the
power dissipated in the pool.
• Measurements of the breaking strain of the crust would appear to indicate that, in the reactor
case, it is very unlikely that the crust would form a single mass which would be attached to the
sidewalls of the reactor pit.
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6.2.2.1.4 The PERCOLA programme
This experimental programme was carried out by the CEA between 1999 and 2002. Following results
from the MACE tests and theoretical work at the CEA [6.2_9] showing that a corium pool could be
cooled if it could be converted into a debris bed, this programme aimed to study the phenomenon of
corium ejection above a crust by gasses resulting from the ablation of the concrete. This analytical
programme made use of simulant materials (water and oil) and revealed a number of ejection
mechanisms. The tests also provided a quantitative measurement of the influence of a number of
parameters associated with the phenomenon [6.2_4], including:
• The viscosity of the fluid (a measure of the enrichment of the corium with concrete during an
MCCI).
• The superficial gas velocity (a measure of the type of concrete and the rate of decrease of gas flow
during an MCCI).
• The density of holes in the crust (currently unknown).
• The diameter of these holes (currently unknown).
• The thicknesses of the crust and the debris bed (a measure of the growth in the crust and debris
bed during an MCCI following ejection).
6.2.2.2 Modelling
The majority of the modelling work has focussed on the phenomena of corium ejection and water
penetration.
An analytical model of corium ejection1 has been developed as part of the PERCOLA programme
[6.2_10]. This model includes physical parameters specific to an MCCI (superficial gas velocity, pool
viscosity, etc.) that were not taken into account in the earlier Ricou and Spalding model [6.2_11].
Applying the PERCOLA model to reactor scenarios indicates that a coolable debris bed would form
rapidly if the ejection phenomenon was effective [6.2_12]. This model has been validated by the
results of the PERCOLA tests but complementary validation is needed using more representative tests
including ablation of the concrete and prototypical materials. Some of the input parameters to the
model are still unknown, including the density and size of holes in the crust permitting the passage of
the corium. Dedicated models for these parameters are needed or, failing this, reliable experimental
data. A number of models have been proposed by Farmer with the aim of estimating these parameters
[6.2_13].
The current model needs to be expanded to include a description of the debris bed and its influence on
the corium ejection, particularly following the growth in the thickness of the debris bed2.
1 This model estimates the entrainment rate, the ratio between the volume of liquid ejected per unit time and the volume of gas released per unit time during an MCCI. 2 The PERCOLA model only takes account of the increase in thickness of the debris bed. It assumes that the gas and corium escape along vertical channels (chimneys) that form within the debris bed.
- 128 -
In relation to the water ingression phenomenon, it should be noted that a critical heat flux correlation
has been developed as part of the SSWICS programme [6.2_8]. This was derived from a model of the
crust cracking process during water penetration. This correlation has been fitted in the light of the
results of these tests without the injection of gas during the solidification of the corium.
6.2.2.3 Simulation codes
As the problem of coolability under water is a sub-set of the larger problem of the molten corium-
concrete interaction, it would appear at first glance that there is no need for separate specific
simulation codes. The TOLBIAC-ICB code [6.2_14], for example, contains the corium ejection models
developed following the PERCOLA programme. It should also be noted that most of the models
developed as part of coolability studies have been implemented in the ANL CORQUENCH code [6.2_15]
in order to test the coupling between MCCI phenomena and those associated with the presence of
water on the surface of the corium pool using 1D ablation simulations. The simplified models for water
penetration and corium ejection used in the first release of the CORQUENCH code now have been
included in the latest release of MEDICIS [6.2_16]. More detailed models, of the corium ejection in
particular, will be included later once they have been validated by sufficient experimental data on
coolability phenomena.
6.2.3 SUMMARY AND OUTLOOK
As has been shown in this summary, the currently available tests results (general 1D and 2D tests,
corium ejection tests, and water penetration tests) are not sufficient for it to be possible to arrive at a
firm conclusion as to the effectiveness of cooling a corium pool during an MCCI by injecting water on
top of the pool.
Progress in this area has been held back by the technological difficulties involved when carrying out
tests using real materials (scaling effects, attachment of the crust, representativeness of the heating
method used, etc.) and by the difficulty to perform large scale experiments.
Given these results and the difficulties in obtaining them, tests on a range of alternative mechanisms
for stabilising the corium are planned. These mechanisms will be defined during the MCCI-2
programme, while studies will continue into the phenomena associated with corium cooling by
aspersion with water.
- 129 -
6.3 CORIUM SPREADING (EPR)
6.3.1 DEFINITION AND OVERALL PHENOMENOLOGY
The development of a core catcher for the EPR has required a corium spreading R&D programme on a
European scale. The objective of corium spreading is to avoid any breach in the basemat by facilitating
corium cooling. The reduction in depth minimises the heat flux from the decay heat to be evacuated at
the surface.
Studies into spreading should include an assessment of the ability of the corium to flow over a
substrate of given geometry and composition, with the conditions under which the corium is injected
onto the spreading surface being determined by the sequence of the accident. The key parameters are
the composition of the corium and the substrate, the initial temperature and corium injection rate, as
well as the geometry of the spreading surface. A review of work on this topic may be found in
references [6.3_13] and [6.3_29].
6.3.2 PHYSICAL PHENOMENA INVOLVED
The spread of the corium is determined by the outcome of a competition between the hydrodynamic
forces, which favour the progression and thinning of the melt, and the progressive solidification of the
corium which, especially within the solidification interval, results in an increase in apparent viscosity
and the appearance of crusts in contact with the substrate and on the surface of the pool.
The hydrodynamics of spreading have been studied by many authors [6.3_1], [6.3_2], [6.3_3], mainly in
the field of volcanology. Numerical models and semi-analytical solutions have been developed for
fluids whose properties remain constant during the flow. Spreading over a horizontal surface is a free
surface flow in which the driving force is a function of the free surface slope. The flow during a severe
accident are determined by gravity and inertia (at high speeds) or viscous friction (at lower speeds).
The rheology of the corium [6.3_26], [6.3_27] changes dramatically as it cools, especially below the
liquidus temperature when crystalline phases begin to appear. It depends partly on the viscosity of the
suspending liquid phase (a mixture in which the silicate ions increase the viscosity by forming lattices)
which has been described by Urbain [6.3_4] and others, and partly on the effect of crystals solidifying
under the shear forces associated with the flow. This type of complex semi-solid fluid has been
described by Flemmings [6.3_5] and others, and an empirical formula has been proposed for corium
[6.3_26], [6.3_30]).
The corium cools by losing heat at the surface through radiation and by losing heat to the substrate by
convection. Crusts may form at both these interfaces, slowing the flow of the melt. However, a
significant contact thermal resistance has been observed at the corium-substrate interface [6.3_6]. The
effect of the residual power is low, given the short duration of the spreading phenomenon.
Griffiths and Fink [6.3_7] have published a comparative study of the various spreading models for
solidifying lava as a function of the dominant forces (gravity-inertia, gravity-viscosity, gravity-complex
rheology, gravity-strength of crust, etc.).
- 130 -
6.3.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES
6.3.3.1 Experimental programmes
The first test programmes concerned with corium spreading in a reactor situation were carried out at
Brookhaven in the USA, [6.3_8] with the aim of studying corium spreading at the bottom of the reactor
pit in Mark I boiling reactors. In Europe, experimental tests and simulations of spreading were also
carried out during the development and analysis of the core catcher in the EPR. Most of this work was
carried out as part of the European COMAS [6.3_10], CSC [6.3_9] and ECOSTAR [6.3_11] projects.
The experimental programmes were divided between analytical experiments used to study the effect
of each phenomenon individually (e.g. the CORINE programme [6.3_12], [6.3_13] carried out by the
CEA in Grenoble with financial support from the IRSN), semi-analytical experiments using simulant
materials, and tests using prototypical materials3. Tables 6.3-1 and 6.3-2 give the characteristics of the
main test programmes carried out with either simulant materials or with prototypical corium (figure
6.3-1) shows an example of a corium spreading test.
Figure 6.3-1: Spreading of prototypical corium over ceramic ridges (left) and concrete ridges
(right) [VULCANO test VE-U7]
These experimental programmes (especially CORINE, VULCANO and KATS) cover most of the
parameters accessible to experimentation, including the geometry, material properties, and boundary
conditions.
3 Melts with a chemical composition identical to that expected during a severe accident, but with a different isotopic composition (e.g. using depleted or natural uranium).
- 131 -
Table 6.3-1: Experimental programmes on the spreading of simulant materials
Programme Laboratory Material
Scale (volume of the melt)
Geometry Parameters
CORINE
[6.3_12]
[6.3_13]
CEA
(France)
Low-temperature simulants (water,
glycerol, low melting point metal alloys)
~50 litres 19° sector
- Flow rate (0.5 - 3 l/s)
- Material (viscosity, single substance – non-eutectic mixture)
- Cooling from the top or bottom
- Effect of a flow of gas from the substrate
Greene
[6.3_8]
BNL
(USA) Lead ~ 1 litre Square section
- Mass
- Additional heating
- Depth of water
S3E
[6.3_14]
KTH
(Sweden)
Low and intermediate temperature (1200°C) simulants
5-20 litres
Rectangular channels
Open geometries
- Flow rate
- Additional heating
- Material
- Substrate (effect of concrete)
- Dry/ in a liquid, with or without boiling
SPREAD
[6.3_15]
Hitachi Energy Res. Lab.
(Japan)
Steel 1-15 litres
Rectangular channel
Half-disc
- Mass spread
- Additional heating
- Flow rate
- Inlet geometry
- Substrate
- Depth of water
KATS
[6.3_16]
[6.3_17]
[6.3_18]
FZK
(Germany)
Aluminium thermite
(Al2O3 + Fe)
up to 2000°C
Up to 850
litres
Rectangular channel
Quadrant
- Mass spread
- Flow rate
- Substrate
- Effect of the addition of sacrificial materials
- Phase spread (oxide and/or metal)
- Reflooding
- 132 -
Table 6.3-2: Experimental programmes on the spreading of prototypical materials
Programme Laboratory Material
Scale (volume of the melt)
Geometry Parameters
COMAS
[6.3_10]
Siempelkamp
(Germany)
Corium-concrete-iron mixtures
Liquidus around 1900°C
20-300 litres
Rectangular channels
45° sector
- High flow rates (>150 kg/s)
- Effect of silica
- Substrate (ceramic/metal/concrete)
FARO
[6.3_19]
JRC Ispra
(European Commission)
UO2-ZrO2
Liquidus around 2700°C
~20 litres 19° sector
- Presence or absence of a thin layer of water
- Metal substrate
VULCANO
[6.3_20]
CEA
(France)
UO2-ZrO2
+ concrete products
Liquidus between 1900 and 2700°C
3 - 10 litres 19° sector
- Flow rate
- Composition
- Type of substrate
These corium spreading experiments show that when corium flows are beginning to solidify, the liquid
and solid phases remain in association, i.e. there is no macro segregation as occurs during slower
transients. The solid fraction is therefore continuously varying within the flow. Also, in the case of a
corium with a wide interval between the solidus and liquidus temperatures, a viscous skin (solid/liquid)
appears on the surface, at least initially, rather than a solid crust. Conversely, in the case of more
refractory coriums in which the solidus and liquidus temperatures are close, a solid crust forms at the
surface which then cracks to allow the liquid to pass through. In this case, the phenomenology is
strongly dependent on the scale of the flow, and the available experimental results are insufficient to
describe fully the behaviour of the crust as they derive from small scale experiments with masses of
injected water 1000 times smaller than would be the case in a real reactor. Ablation of the substrate
(in the case of concrete) during the flow remains low. Its effect on the spreading kinetics has been
shown but it remains limited.
It is considered that the available knowledge relating to the dry spread of corium in the most likely
case of an extended solidus-liquidus temperature interval resulting from a composition rich in low-
refractory materials originating in sacrificial concrete is sufficient to validate the simulation codes and
to extrapolate the results to a real reactor.
In the case of corium spreading under water, the CORINE tests using simulants and with a depth of
water of around 10 cm indicate that a layer of corium would accumulate until it reached the same
depth as the water layer.
- 133 -
6.3.3.2 Modelling and simulation codes
A number of mechanistic simulation codes have been developed in Europe to model corium spreading.
Table 6.3-3 shows their main characteristics. These codes have been subject to an intensive validation
programme. Comparison benchmark tests have been carried out as part of the VULCANO VE-U7
prototypical corium test [6.3_25], and ECOKATS-1 was a blind test using simulant materials [6.3_17].
These exercises showed a good estimate of the spread surface area, with an uncertainty of around 20%.
Table 6.3-3: The main corium spread simulation codes
Code Origin Geometry Characteristics Validation
MELTSPREAD
[6.3_21]
ANL on behalf of EPRI
(USA)
1D
- Ablation of the substrate and oxidation of the corium taken into account
- Mainly via the Greene’s tests
THEMA
[6.3_13]
CEA
(France)
2D
integrated along the vertical axis
- Solidification of the corium (in the mass/in the crust) and melting of the substrate taken into account
- 3D solution of the heat equations in le substrate
- Analytical solutions
- Analytical tests
- Tests using simulants and prototypical corium
LAVA
[6.3_22]
GRS
(Germany)
2D
integrated along the vertical axis
- Cellular automaton
- Focus on the cooling of the corium and its rheology (Bingham)
ditto
CROCO
[6.3_23]
IRSN
(France)
2D
horizontal + vertical
- Detailed modelling
- Free surface calculated using an Eulerian grid in association with a Lagrangian model of the fluid.
ditto
CORFLOW [6.3_24]
FZK
(Germany) 3D
- Detailed modelling
- Free surface represented by a height function verifying the kinetic and continuity equations
ditto
In addition, KTH in Sweden has developed a simplified analytical model which has been validated
satisfactorily (mean accuracy of around ± 50%) [6.3_14], [6.3_29].
In parallel with this corium spread modelling work, an R&D programme [6.3_26] has been studying the
rheology of corium during solidification under shear forces in a spreading situation. This has enabled
- 134 -
the viscosity models applicable to liquids with and without silica to be extended to corium. It has also
been able to predict the viscosity of semi-solid corium as a function of its solid fraction by volume with
sufficient accuracy to be used in spreading calculations [6.3_26], [6.3_28].
6.3.4 SUMMARY AND OUTLOOK
The R&D programme has answered the question of dry spreading. Among others, the VULCANO tests
have shown that, even when the initial temperature of the corium-concrete mixture is 100 to 200 C°
below the liquidus temperature, it will still spread satisfactorily provided that the flow rate of the
melt is sufficient. The presence of a shallow layer of water (simulating condensation) or a concrete
substrate (releasing steam and CO2) only affects the spreading slightly.
The flow mechanisms under a significant depth of water are determined by the mechanical behaviour
of the crusts on the surface and on the melt front, and by the fragmentation of the corium. These
mechanisms require further investigation before validated models become available.
- 135 -
6.4 EX-VESSEL CORE CATCHER
6.4.1 TYPES OF EX-VESSEL CORE CATCHER
From the arrival of the very first nuclear reactors, very many studies have been carried out into
schemes for catching corium. A summary of these is given in [6.4_1] and [6.4_2]. It is not possible to
describe all these systems in this document. The discussion will be limited to a number of generic
aspects with particular reference to the EPR design.
6.4.1.1 Main safety functions
From a reactor safety point of view, core catcher systems must fulfil a number of specific functions:
• Corium retention: The system must be able to hold the entire mass of corium coming from the
reactor.
• Containment of fission products: The system must retain all the refractory fission products
remaining in the corium.
• Minimal production of combustible gasses (H2 and CO): The aim is to prevent the generation of
hydrogen by oxidation of metals (residual zirconium and steel) which may come into contact with
water.
• Long term stabilisation of the corium: The system must retain and cool the corium over the long
term.
• Resistance to dynamic effects (e.g. from a steam or hydrogen explosion, or from structural
collapse).
It is difficult to satisfy all these constraints simultaneously and the design of these systems is therefore
relatively complex. As a result, demonstration of the correct operation of these systems is difficult,
and considerable R&D effort is required.
6.4.1.2 The EPR core catcher
In the EPR design, the corium is first spread over a large area. It is then flooded and cooled by water
from the IRWST (see Figure 6.4-1).
- 136 -
Figure 6.4-1: The main components of the EPR core catcher
The EPR design includes a preliminary phase of corium retention in the reactor pit in order to favour
the spreading of the corium. During this phase, the corium must first erode through a 50 cm thick layer
of sacrificial concrete before it can leave the reactor pit. This temporary retention and the addition of
concrete to the corium increase the uniformity of the pool prior to the spreading phase. The
uncertainties inherent in the formation of a corium pool within the vessel and those surrounding the
breakdown of the vessel and the number of corium streams released are thus eliminated before the
corium is spread and measures taken to stabilise it. A melt gate is also fitted at the bottom of the
reactor pit below the sacrificial concrete. This gate provides access to a transfer channel linking the
reactor pit to the spreading compartment. Away from this gate, the sacrificial concrete layer in the
reactor pit is reinforced by a protective 20 cm thick layer of refractory material. The gate is intended
to be a weak point, as it is the only area where the sacrificial concrete is not reinforced by a
protective layer. It therefore breaks down rapidly in contact with the corium following ablation of the
sacrificial concrete. It then provides an opening sufficiently large to enable the entire corium pool to
pass rapidly into the spreading compartment.
The spreading compartment is a crucible with a surface area of around 170 m2. The floor and side walls
are made from a large number of separate cast iron elements. This structure is relatively immune to
thermal expansion effects and distortion due to large temperature gradients. The lower cast iron
sections include fins forming a number of rectangular horizontal cooling channels. The inner surface of
the crucible structure is covered with a layer of sacrificial concrete. The arrival of corium in the
compartment triggers the opening of valves allowing water to flow from the IRWST under gravity. This
water begins to fill the horizontal channels under the spreading compartment. It then rises through the
walls and eventually refloods the corium from above. This system is shown in Figure 6.4-2.
- 137 -
Figure 6.4-2: System of cooling fins in the EPR core catcher
6.4.2 PHYSICAL PHENOMENA INVOLVED
A successful demonstration of the correct operation of a core catcher design requires an understanding
of a number of processes, together with the ability to predict their outcomes. These include:
• The interaction of the corium with the sacrificial concrete and the protective refractory ceramic
material during the period of retention in the reactor pit.
• The opening of the melt gate (EPR).
• The spreading and flooding of the corium, together with control of the risk of a steam explosion.
• Long term cooling of the corium (in the spreading compartment in the case of the EPR).
• Long term containment of fission products.
6.4.2.1 Temporary melt retention in the reactor pit
The effect of the corium pouring into the reactor pit
An unknown quantity of corium pours into the reactor pit immediately following the breakdown of the
reactor vessel. This implies a scenario in which a jet of corium hits the sacrificial concrete in the
reactor pit, possibly resulting in significant ablation of this concrete.
Interaction between the corium and the sacrificial concrete
Once in the reactor pit, the corium begins to erode the sacrificial concrete. This ablation must proceed
sufficiently slowly to allow all the corium likely to come from the core to accumulate before the
- 138 -
melting of the gate allowing the corium to flow towards the spreading compartment. The spreading
process must take place as a single event. The addition of concrete to the corium during this
interaction must alter the properties of the corium in such a way as to enable it to spread
satisfactorily, regardless of the initial conditions (enthalpy, solid fraction, viscosity, etc.). It is
therefore essential to be able to predict accurately the phenomena associated with the molten corium-
concrete interaction (see Chapter 5) and the thermophysical properties of the corium-concrete mixture
in order to specify the correct type of concrete to be used and its thickness.
Interaction between the corium and the protective layer
In the case of the EPR, the protective layer is intended to protect the load-bearing concrete structure
of the reactor pit in the event of a local breach in the sacrificial concrete. Other core catcher designs
used in other reactor types also use refractory ceramic materials to contain the corium. The material
in the protective layer must not be eroded, regardless of the composition of the corium or its
configuration (stratification of the metal and oxide layers).
6.4.2.2 The opening of the melt gate (EPR).
In its initial state, the gate consists of a sacrificial concrete cover with the same thickness as the
sacrificial concrete layer lining the reactor pit, together with a 4 cm thick steel plate. The corium first
has to erode the sacrificial concrete layer, then melt the steel plate. Analysis has shown that, given a
relatively homogeneous ablation front, the contact area between the corium and steel plate will be
considerable and the plate should melt very quickly. However, in the event of a non-homogeneous
ablation front (which cannot be excluded given the large uncertainties regarding MCCI phenomena (see
Chapter 5)), there is a risk that there will be only a small area of contact between the corium and the
steel plate, which could limit the size of the resulting breach through which the melt needs to flow.
This analyse therefore indicates the need for further R&D work towards a new design for the melt gate.
6.4.2.3 Corium spreading and flooding
Once the gate is destroyed, the corium flows along the discharge channel and into the spreading
compartment where its arrival triggers the release of water into the cooling system (see Section 6.4.1).
All the corium must have spread before the water reaches the spreading compartment as the flow of
corium under water is subject to considerable uncertainties and cannot be fully modelled at the
present time (see Chapter 6.3). As the water is flowing through the system, the spread corium is
interacting with the sacrificial concrete layer of the spreading compartment.
6.4.2.4 Long term cooling (EPR)
By the time that the interaction between the corium and the sacrificial material has stabilised on the
cooled structure consisting of the cast iron elements traversed by around 360 rectangular horizontal
channels, its surface has already been completely flooded. It is therefore cooled from above by direct
contact with water, from the sides and from below via the cooling structure. It is essential to ensure
that, under these conditions, the heat flux released by the corium may be evacuated and that there is
no risk of heat damage to the structure (drying, followed by meltdown).
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The cooling system must be passive, at least in the short term. This cooling is designed to be by natural
convection. In order for the corium to be cooled effectively, the temperature must be kept below a
critical value at all points on the cooled surface.
6.4.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES
6.4.3.1 Experimental programmes, modelling and results
6.4.3.1.1 Temporary retention in the reactor pit: the effect of the corium pouring into
the reactor pit
The consequences of the impact of jets of corium on a concrete surface have been studied as part of
the KAJET tests [6.4_14]. These tests covered both oxide and metal coriums and various types of
concrete. These experiments have shown that severe ablation can only occur with small diameter and
high flow rate jets over a very long period of time. The impact of gravity driven superheated metal
flows produced when a vessel ruptures under low pressure (1 to 2 bar) have also been investigated
during the COMET tests [6.4_10]. These tests involved the pouring of superheated metals onto concrete
from a height of several metres. These experiments showed that no significant ablation occurred.
6.4.3.1.2 Interaction between the corium and the sacrificial concrete
The problem of modelling the molten corium-concrete interaction has already been discussed in
Chapter 5.
In the case of a core catcher system, the R&D work has shown that there are advantages in the use of a
sacrificial material that can provide a number of additional functions, including:
• The oxidation of the corium metals without the production of any combustible gasses. Iron oxide is
used to oxidise the residual Zr (producing ZrO2 and Fe) without the generation of any hydrogen.
• The fluidisation of the corium by the addition of constituents that reduce the liquidus temperature
and viscosity, thus facilitating the initial flow and spread, and the later cooling (e.g. concrete
containing silica and iron oxide in the reactor pit of an EPR).
• Assisting containment as the use of silica (SiO2) in the sacrificial material eventually forms a
vitreous matrix capable of containing fission products.
6.4.3.1.3 Corium-ceramic interaction
This problem is discussed in a generic manner with particular reference to the EPR.
Considerations relating to the ability of a refractory material to withstand corium
In order to contain the corium, the simplest idea would appear to be to choose a refractory material
capable of withstanding corium (temperature and chemical compatibility) and simply retain the corium
in a ‘hot crucible’. The problem is that such a material does not exist. The ceramic oxides are
dissolved by the corium oxide and are attacked by metals in the presence of oxygen. Refractory metal
- 140 -
walls (tungsten, molybdenum, etc.) are attacked by metallic corium and by water. Carbides and
nitrides also react with the corium.
Corium-ceramic interaction in the absence of concrete over the long term (> 1 week)
Zirconia (ZrO2, melting point 2700°C) was suggested for use in the spreading compartment in the initial
design of the EPR. The CEA carried out a study into the interaction between corium and zirconia. A
model for the dissolution of zirconia by corium was proposed and validated by a series of interaction
tests performed by NITI in Saint Petersburg [6.4_3] (Figure 6.4-3). The CEA has also shown that the
presence of a metal layer between the corium oxide and the zirconia does not prevent the transfer of
oxygen and the resulting ablation of the zirconia [6.4-19].
Figure 6.4-3: Corium-ceramic interaction: Left: Results of a test on a zirconia ceramic (light area) dissolved by corium oxide (dark area). Right: Reprocessed results from the same test.
These tests have shown that the zirconia could be dissolved by the corium over the long term (a week
or more). Under these conditions, the interface temperature between the ceramic and the corium
tends in the long term towards the liquidus temperature corresponding to the composition of the liquid
corium oxide. This interface temperature would be the same even if the corium was contained within a
solid crust. It has been concluded that there is no advantage in using costly refractory materials to
contain the corium in the long term, and the solution is to contain the corium within its own solid crust
(i.e. a ‘self-crucible’). This has the advantage of reducing the corium solidification time to a minimum
by reducing the mass accumulated in the core catcher. A low cost sacrificial material, such as high-
alumina refractory concrete, is used to absorb thermal shocks. The sacrificial material is enclosed
within a metal structure cooled from the outside. The ablation of the sacrificial material, which is less
refractory than ceramic, results from structural disintegration due to the emission of gasses and
thermal decomposition due to the melting of some of the constituents. This process takes place at a
faster rate than the ablation of a ceramic limited by the dissolution kinetics.
- 141 -
Short term (<1 day) interaction between the corium and a ceramic in the presence of concrete
(EPR reactor pit)
Small-scale tests [6.4_15] carried out recently by Framatome Erlangen have shown that, during a
simultaneous interaction between corium, concrete and a zirconia ceramic, there is practically no
ablation of the zirconia. This effect appears to be due to the fact that the corium-concrete interaction
holds the temperature to a value close to or less than the liquidus temperature of the liquid corium
oxide. This is in contrast to the long term interaction discussed above in which the temperature may
exceed the liquidus temperature. At temperatures close to or below the liquidus temperature, the
dissolution of the ceramic is no longer possible. The conclusion of these studies reveals that, during the
corium-concrete interaction in an EPR reactor pit, the attack on the ceramic should be low and the
melt gate should open before the protective zirconia layer is breached.
6.4.3.1.4 The opening of the gate (EPR).
The rapid and homogeneous melting of the steel plate cannot be guaranteed if the ablation of the
sacrificial concrete proceeds in a non-homogeneous manner, as this implies that the contact surface
area between the corium and steel plate would be relatively small.
The KAPOOL [6.4_17] series of experiments was carried out by FZK in Germany with the aim of studying
the speed of ablation of a metal plate under these conditions. In these experiments, the oxide and
metal phases were simulated by aluminium oxide and the iron produced in a thermite reaction. Three
types of situation were considered: the interaction between the metal corium (iron) and a steel plate,
the interaction between the corium oxide (aluminium oxide) and a steel plate, and the interaction
between the corium oxide and an aluminium plate.
These experiments have shown that the steel plate was rapidly melted by the metal corium. However,
when an oxide corium was used in the KAPOOL experiment, a crust formed at the interface between
the corium and the plate which prevented the steel plate from melting. The aluminium plate did,
however, melt due to its lower melting point. Studies carried out by the IRSN [6.4_16] have also shown
that a 4 cm thick steel plate cannot be guaranteed to melt in all cases in such a way as to open a
passage sufficiently large for all the corium to migrate to the spreading compartment before the arrival
of the water.
In view of these results, it has been suggested that the steel plate should be replaced by an aluminium
plate reinforced by a steel grid. The aluminium will ensure that a sufficiently large opening occurs
almost immediately while the steel grid provides mechanical stability for the assembly. The cross-
sectional area of the breach in the door will then no longer be limited by the metal door and will be
determined solely by the size of the breach in the concrete.
6.4.3.1.5 Corium spreading and reflooding
The research work in relation to the spreading problem has been discussed in Section 6.3. This work
has shown that the corium spreads satisfactorily over a dry surface providing that its temperature and
flow rate are sufficiently high. The flow rate will be high enough if the size of the breach in the
concrete above the door is greater than around 25 cm at the time that the melt is released. This initial
- 142 -
breach size requirement is completely consistent with the spatial size of the instabilities that appear
during corium-concrete ablation (M3B test using two tonnes of corium).
6.4.3.1.6 External cooling of the core catcher and long term stabilisation
The stability of a self-crucible is maintained by external cooling. The cooling system must be passive,
at least in the short term (a few days). Spreading the corium in an EPR reduces the heat flux to be
evacuated. This flux rapidly falls below around 0.1 MW/m². A heat flux of 0.1 MW/m² is relatively easy
to evacuate by natural convection at a vertical or upward facing surface. At this type of surface, the
critical flux is around 1 MW/m². The problem is to evacuate the heat flux from underneath the core
catcher, especially when the surface area to be cooled is large as is the case in the EPR. In this
configuration, steam can accumulate under the metal structure and prevent it cooling. In order to
avoid this problem, the EPR makes use of specific design features to increase the heat transfer and to
evacuate the steam. These are a system of fins similar to those used in the Vapotron [6.4_4]. In order
to be effective, the fins must be sufficiently long and with a sufficiently high thermal conductivity to
extract the heat flux from the area occupied by the steam, while maintaining the temperature low
enough not to compromise its structural integrity (<~ 600°C). This system has been implemented in the
EPR core catcher (see Figure 6.4-2). Demonstration tests have been carried out by AREVA using the
Benson loop [6.4_5] and [6.4_6].
The VOLLEY test programme [6.4_18] was subsequently carried out by the University of
Lappeenranta in Finland using two cast iron channels through which flowed either pure water or
borated water. In all, ten tests were carried out, with the main parameters being varied including
the inclination of the channels (horizontal or inclined at 1°), the flow rate of the water, and the
heating power.
All these experiments confirmed the correct operation of the EPR cooling system, including under
circumstances where there is partial flooding of the channels due to a steam-water counter-current
inside them, i.e. when the cooling water is supplied from the pool of water formed above the corium.
6.4.3.1.7 Behaviour of fission products
A this stage of an accident, only the refractory fission products remain in the corium. The ACE tests
[6.4_7] have shown that the release of fission products remains low, even when a gas is percolating
through the corium. As soon as the corium is covered with water, it forms a solid crust at the surface
which prevents the transfer of most of the fission products.
6.4.3.1.8 Steam explosion
The MACE and OECD CCI tests [6.4_9] have shown that reflooding the corium oxide with water does not
result in a steam explosion. The ANAIS tests [6.4_8] have also shown no sign of a steam explosion when
a layer of liquid steel is reflooded with water. A solid crust forms in less than a minute at the interface
between the corium and the water, and this prevents a steam explosion. No steam explosion has
occurred during the tests carried out to validate the design of the COMET core catcher in which water
- 143 -
is injected from below into the corium under pressure following the melting of release mechanisms
under the core catcher [6.4_10](Figure 2.2-1).
Figure 6.4-4: Operating principle of the FZK COMET core catcher: The ablation of sacrificial concrete by the corium pool causes the tips of the jets to melt injecting water into
the corium.
6.4.3.1.9 Pressurisation of the containment
The reflooding of the corium with water releases steam which may increase the pressure within the
reactor containment. If the power extracted during the transient is limited by a thermal resistance
(e.g. when a crust forms at the surface of the corium in contact with the water, as in the case of the
EPR core catcher), that rate of steam generation remains low and there is no significant increase in the
pressure within the containment. However, the time taken for the corium to solidify completely is then
longer (several days in the case of the EPR). The injection of water into the corium (as in the COMET
design shown in Figure 6.4-4) causes the corium to solidify much more quickly (in less than an hour
following the water injection) but it does increase the pressure in the containment. In this case, it has
to be demonstrated that measures to control the pressure within the containment, such as aspersion,
cooling or depressurisation through filters, allow to limit the increase in pressure to an acceptable
value.
6.4.3.2 Computer codes
Given the wide variety of core catcher designs, there is no single code capable of describing all their
operations. A number of tools are available to predict core catcher behaviour, including:
• Thermodynamic tools, used to predict the interactions between the corium and the constituent
materials of the core catcher.
• Tools describing the external cooling of the core catcher walls (CATHARE, etc.).
• Tools describing the interaction between the corium and the water (MC3D).
• Tools linking a description of the corium to its interaction with the constituent materials of the
core catcher. TOLBIAC [6.4_11] may be used to describe the interaction between corium and a
ceramic. The distribution of the heat flux is essentially independent of the external cooling as the
interface temperature between the liquid oxide corium (where most of the residual power is
released) and the solid envelope is fixed (Tliquidus) [6.4_12]. This allows the ‘corium’ heat flux
distribution software to be used independently of the external cooling software. The current
MELT
Sacrificial Concrete
Water
Basement
- 144 -
release of the MEDICIS code [6.4_13] can be used to describe the corium-concrete interaction in
which the concrete is eroded by thermal decomposition with the emission of gas, but it cannot be
used to investigate the corium-ceramic interaction as this requires account to be taken of the
dissolution of the ceramic and the conduction of heat into the ceramic substrate due to the slow
speed of the interaction.
6.4.4 SUMMARY AND OUTLOOK
In general, a greater understanding of the following points is needed regardless of the design of the ex-
vessel core catcher and its present state of development (industrial optimisation or assessment of the
residual risks):
• Relocalisation, fragmentation and dispersion of the corium following a breach in the reactor vessel.
• Corium-ceramic interaction, or simultaneous corium-concrete-ceramic interaction.
• Corium-concrete interaction under water.
• Corium spreading under water.
- 145 -
TABLES IN CHAPTER 6
Table 6.3-1: Experimental programmes on the spreading of simulant materials ...........................131
Table 6.3-2: Experimental programmes on the spreading of prototypical materials.......................132
Table 6.3-3: The main corium spread simulation codes .........................................................133
- 146 -
FIGURES IN CHAPTER 6
Figure 6.1-1: The configuration of the corium pool in the lower head with external cooling ............117
Figure 6.1-2: In-vessel recuperation configuration with inverted metal stratification ....................121
Figure 6.1-3: The Tian Wan core catcher ..........................................................................123
Figure 6.3-1: Spreading of prototypical corium over ceramic ridges (left) and concrete ridges (right)
[VULCANO test VE-U7] .................................................................................................130
Figure 6.4-1: The main components of the EPR core catcher ..................................................136
Figure 6.4-2: System of cooling fins in the EPR core catcher...................................................137
Figure 6.4-3: Corium-ceramic interaction: Left: Results of a test on a zirconia ceramic (light area)
dissolved by corium oxide (dark area). Right: Reprocessed results from the same test...................140
Figure 6.4-4: Operating principle of the FZK COMET core catcher: The ablation of sacrificial concrete
by the corium pool causes the tips of the jets to melt injecting water into the corium. .................143
- 147 -
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[6.3_18] Alsmeyer, H., Cron, T., Messemer, G., Häfner, W., ECOKATS-2: "A Large Scale Experiment on Pool Spreading and Subsequent Cooling by Top Flooding", Proc. ICAPP ’04 (Int. Conf. Advances in nuclear Power Plants), Pittsburg, PA, Communication n°4134.
[6.3_19] Tromm, W., Foit, J. J., Magallon, D., 2000, "Dry and wet spreading experiments with prototypic materials at the FARO facility and theoretical analysis", Wiss. Ber. FZKA, 6475,178-188.
[6.3_20] Journeau, C., Boccaccio, E., Brayer, C., Cognet G., Haquet, J.-F., Jégou, C., Piluso, P., Monerris, J., 2003, "Ex-vessel corium spreading: results from the VULCANO spreading tests", Nucl. Eng. Des. 223, 75-102.
[6.3_21] Farmer, M.T., Sienicki, J.J., Chu, C.C., Spencer, B.W., 1993, "The MELTSPREAD-1 computer code for the analysis of transient spreading and cooling of high temperature melts", Rapport EPRI TR-103413 - Non-public reference.
[6.3_22] Allelein H.-J., Breest A., Spengler C., 2000, "Simulation of core pool spreading with LAVA: Theoretical background and Status of Validation", Wiss. Ber. FZKA, 6475, 189 – 200.
[6.3_23] Piar, B., Michel, B.D., Babik, F., Latché, J.-C., Guillard, G., Ruggierri, J.-M., 1999, "CROCO: A Computer Code for Corium Spreading", Proc. Ninth International Topical Meeting on Nuclear Thermal Hydraulics (NURETH-9), San Francisco, Ca., USA.
[6.3_24] Wittmaack, R., 1997, "CORFLOW: A code for the numerical simulation of free-surface flow", Nucl. Technol., 116, 158-180.
[6.3_25] Journeau, C., Haquet, J.-F., Spindler, B., Spengler, C., Foit, J., 2006, "The Vulcano VE-U7 corium spreading benchmark", Progr. Nucl. Energ., 48, 215-234.
[6.3_26] Ramacciotti, M., Journeau, C., Sudreau, F., Cognet, G., 2001, "Viscosity models for corium melts", Nucl. Eng. Des. 204, 377-389.
[6.3_27] Seiler, J.M., Ganzhorn, J., 1997, "Viscosities of corium-concrete mixtures", Nucl. Eng. Des. 178, 259-268.
[6.3_28] Perez, M., Barbé, J.C., Neda, Z., Bréchetr, Y., Salvo, L., 2000, "Computer simulation of the microstructure and rheology of semi-solid alloys under shear", Acta Met., 48, 3773-3782.
[6.3_29] Journeau, C., 2006, "L’étalement du corium: Hydrodynamique, Rhéologie et solidification d’un bain d’oxydes à haute température", Thèse de Doctorat, Université d’Orléans.
[6.3_30] Journeau, C., Jeulain, G., Benyahia, L., Tassin, J.-F., Abélard, P., 2006, "Rheology of mixtures in the solidification range", Rhéologie, 9, 28-39.
[6.4_1] Szabo I. "comparison of advantages and drawbacks of typical core-catcher concepts", WG2 meeting sept 6th 1994, CEA Grenoble - Non-public reference.
[6.4_2] Szabo I., "Survey of design principles and basic mechanisms of ex-vessel molten core retention system ", Rapport provisoire CEA - Non-public reference.
[6.4_3] Seiler J.M., Froment K., "Material effects on multiphase phenomena in late phase of severe accidents o f nuclear reactor", Multiphase Science and Technology, 12, 2000.
[6.4_4] Beurtheret C.A. "Le processus de vaporisation et le Vapotron", Institut Français des Combustibles et de l’Energie, et revue technique CFHT n°24 Paris December 1956.
[6.4_5] Schmidt H., "Ex-vessel pool stabilisation: Experimental results on CHF-limits in the channels of the basemat cooling system", Work Report FANP TGT1/02/e52 - Non-public reference.
[6.4_6] Schulze G., Klemm L., "Experimental demonstration of the heat removing capacity of the EPR core catcher, considering the impact of boron and insulation material", AREVA Technical report NGTT1/2005/en/1001 - Non-public reference.
[6.4_7] Cenerino G., Chevalier P.Y., Fischer E. 1992 "thermodynamic calculations of oxide complex systems, prediction of fission product releases", 2nd OECD CSNI Specialist meeting on Molten Core Concrete Interactions FZK Karlsruhe, Germany 1-3 April 1992.
[6.4_8] Amblard M., Froment K., Seiler J.M., Tourniaire B., "ANAIS experiment: consequence of water injection on a molten metal layer in the lower head", 10th Int. Topical Meeting on Nuclear Reactor Thermalhudraulics (NURETH 10), 2003.
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[6.4_9] Farmer M.T., Lomperski S.W., Basu S. 2005, "The results of the reactor material experiments investigating 2D core-concrete interaction and debris coolability", NURETH 11, Avignon October 2-6 2005.
[6.4_10] Alsmeyer H., Adelheim C., Benz H., Cron T., Dillmann G., Tromm W., Schmidt-Stiefel S., Schneider H., Schumacher G., Wenz T., "Corium cooling by bottom flooding: results of the COMET investigations", OECD Workshop on Ex-Vessel Debris Coolability Karlsruhe, Germany, 15-18 November 1999.
[6.4_11] Spindler B., Tourniaire B., Seiler J.M., Atkhen K., "MCCI analysis and applications with the TOLBIAC-ICB code based on phase segregation model", ICAPP’5, 2005.
[6.4_12] Seiler J.M., Labergri, Froment K., Valin F., 1999, "Model development fort eh calculation of corium-ceramic interaction during severe accidents in LWRs" NURETH 9 San Francisco October 3-8, 1999.
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CHAPTER 7 : RELEASE AND TRANSPORT OF FISSION
PRODUCTS
7.1 IN-VESSEL RELEASE OF FISSION PRODUCTS
7.1.1 DEFINITION AND OVERALL PHENOMENOLOGY
The main features of a severe accident occurring in a nuclear reactor that set it apart from all other
industrial accidents are the potential for the massive release of radioactive products into the
environment and the associated radiological consequences. The main sources of such radioactivity are
fission products and the first stage in preventing their release into the environment is to evaluate their
release into the reactor vessel, often called the source term.
The fission products are created by irradiation and the yield depends on both the type of product itself
and, to a second order4, on the type of fission (thermal in the case of 235U or 239Pu, rapid in the case of 238U etc.). The presence of stable and long radioactive half-life fission products causes the inventory to
increase in a quasi-linear manner as a function of the burnup at a rate of around 75 kg/(GWd/t), i.e. 2
tonnes of fission products created in a PWR-900 core at equilibrium5. Table 7.1-1 provides a detailed
summary of the inventory of each fission product and each heavy nucleus, together with the change in
total activity of the core for a period of one month following the shut-down of a reactor.
Under nominal irradiation conditions within a PWR, the fission products are found within the fuel
matrix in a number of chemical forms [7.1_1], including:
• Dissolved oxides, in the case of around half the products, especially Sr, Y, Zr, La, Ce and Nd.
• Oxide precipitates, mainly in the case of Ba and Nb.
• Metal precipitates, in the case of Mo, Tc, Ru, Rh and Pd.
• The chemical state of the volatile fission products (Br, Rb, Te, I and Cs) is not fully understood at
the present time. The majority are probably present in the form of dissolved atoms and, above a
given temperature, these may migrate radially before condensing in cooler areas. The formation of
certain compounds, including CsI, Cs2MoO4 and caesium uranates, has often been suggested, but
this has never been confirmed experimentally.
• Dissolved atoms or bubbles of gas located in inter or intra-granular positions, in the case of the
fission gas, xenon and krypton. It should be noted that the accumulated fraction of gas at the grain
boundaries is more likely to be released in the event of an accident.
4 It should be noted however that in the case of some fission products such as ruthenium, the fission yield may vary by a factor of between two (103Ru) and ten (106Ru) depending on whether the fissions take place in 235U or 239Pu. 5 Taken from a PEPIN simulation for a reactor at the end of its life with a quarter core loading (10.5 - 21 – 31.5 - 42 GWd/t) and 72.5 tonnes of initial uranium.
- 153 -
Table 7.1-1: Changes in the activities of fission products and actinides in a 900 MWe(1) PWR following shut-down
Changes in the activities of fission products and a ctinides in a 900 MWe (1) PWR after shut-down
Activities as a fraction of the total activity Fission
products Total mass at SD in kg (2) At SD 1 hour later 1 day later 1 month
later As 7,39E-03 0,20% 0,01% 0,00% 0,00% Se 3,14E+00 0,58% 0,02% 0,00% 0,00% Br 1,16E+00 1,17% 0,20% 0,00% 0,00% Kr 2,21E+01 2,32% 1,46% 0,03% 0,06% Rb 2,03E+01 3,22% 0,84% 0,01% 0,00% Sr 5,51E+01 4,50% 3,85% 2,57% 6,10% Y 2,89E+01 5,84% 5,11% 3,40% 8,16% Zr 2,10E+02 4,73% 3,83% 4,63% 10,30% Nb 3,24E+00 7,09% 5,68% 5,93% 13,18% Mo 1,84E+02 4,28% 2,28% 2,90% 0,01% Tc 4,52E+01 4,82% 2,50% 2,77% 0,01% Ru 1,37E+02 1,85% 3,11% 3,67% 10,27% Rh 2,36E+01 2,30% 3,42% 4,96% 10,26% Pd 5,93E+01 0,19% 0,33% 0,18% 0,00% Ag 3,97E+00 0,14% 0,11% 0,12% 0,05% Cd 4,00E+00 0,03% 0,02% 0,01% 0,00% In 8,20E-02 0,13% 0,03% 0,01% 0,00% Sn 2,65E+00 0,66% 0,15% 0,02% 0,01% Sb 8,98E-01 1,76% 0,68% 0,17% 0,06% Te 2,62E+01 3,85% 4,16% 2,88% 0,69% I 1,27E+01 5,70% 8,94% 6,39% 0,65%
Xe 3,07E+02 4,33% 3,60% 5,12% 0,41% Cs 1,61E+02 3,82% 1,27% 0,46% 1,61% Ba 8,21E+01 4,67% 3,75% 3,46% 3,45% La 6,99E+01 4,71% 5,22% 3,57% 3,25% Ce 1,63E+02 3,61% 5,04% 7,41% 16,01% Pr 6,21E+01 3,10% 4,63% 5,49% 11,76% Nd 2,07E+02 0,68% 1,07% 1,25% 0,82% Pm 1,24E+01 0,65% 1,22% 1,65% 1,48% Sm 3,57E+01 0,21% 0,46% 0,54% 0,00% Eu 8,90E+00 0,08% 0,19% 0,29% 0,36%
Actinides U 6,99E+04 9,37% 3,91% 0,00% 0,00% Np 3,15E+01 9,37% 22,76% 29,86% 0,02% Pu 5,89E+02 0,05% 0,11% 0,19% 0,80% Am 6,18E+00 0,00% 0,00% 0,00% 0,00% Cm 2,09E+00 0,01% 0,03% 0,06% 0,21%
Total activity (Bq) 5,91E+20 2,42E+20 1,39E+20 3,30E+19
(1) : 900 MWe UO2 PWR with 3.70% of 235U – 72.5 tonnes of U intitially End-of-life loading per quarter core: 10.5 - 21 – 31.5 - 42 GWJ/tU All fission products and actinides present in the core (assumed to be no release) (2) : Stable and radioactive elements
The chemical state of the fission products in the first three categories is not fixed and some of them
may move from one category to another according to the operating temperature, the oxygen potential
in the fuel (which increases with burnup as fission reactions tend to be oxidising), and the burnup
(which increases the concentration of fission products in the matrix). This is especially the case with
molybdenum which precipitates mainly in metallic form, but which may also be found as the oxide
(especially on the surface of MOX fuel pellets), and for niobium and strontium whose oxides may be
partly dissolved and partly precipitated.
The fission products play a number of roles in the event of a severe accident:
- 154 -
• The radioactive fission products, especially those with short half-lives, make up a small proportion
of the total mass, but account for most of the radioactivity and residual power.
- The more volatile products are released from the reactor vessel, transported and partially
deposited in the reactor cooling system and then in the containment building. From the
containment building, they can reach the outside through leakage and contaminate the
environment. The most radiotoxic of these isotopes are 133Xe, 132Te, 132I and 131I in the short
term, and 134Cs and 137Cs in the long term. Ruthenium is also a potential hazard in specific
accident situations where air enters the core (103Ru in the medium term and 106Ru in the
longer term).
- The non-volatile fission products (239Np and 140La in the short term, 95Zr, 95Nb and 144Ce in the
medium to long term) remain in the corium, causing the core to heat up and melt if it is not
sufficiently cooled.
• The stable fission products account for most of the mass and they exacerbate the degradation of
the core as they form eutectic mixtures with the UO2, which tend to reduce the melting point
[7.1_2]. The effect can be significant as the concentration of fission products in the fuel at high
burnup can exceed 10% atomic above 50 GWd/t). The pressure of gaseous fission products can also
break down the fuel at grain boundaries resulting in the formation of fuel debris.
7.1.2 PHYSICAL PHENOMENA INVOLVED
7.1.2.1 Fission gas
During normal irradiation in a PWR, the fission gas form at the atomic level within the grain structure
of the UO2. These gas atoms diffuse towards the grain boundaries or accumulate in the form of
nanometric intragranular bubbles, slowing their rate of migration towards the grain boundaries. The
bubbles may also be redissolved under the influence of fission spikes, accelerating the flow of gas to
the grain boundaries. Once the fission gasses arrive at the grain surface, mainly though atomic
diffusion but also by migration of the bubbles, the fission gas accumulate until they can coalesce to
form larger bubbles filling the intergranular space. Some of this gas can find a path out of the fuel and
into the free space in the fuel rod [7.1-3].
At the instant an accident occurs, the gas population therefore consists of three types, as follows:
• Atoms of gas dissolved in the matrix.
• Low intra-granular bubbles of gas.
• The gasses accumulated in the intergranular spaces which can be released via a number of
different mechanisms.
The first phase in the release process, often referred to as ‘burst release’, corresponds to the release
of gas that have accumulated in the intergranular spaces, together with the gas fraction that has
already been released into the fuel rod plenum during normal operational irradiation (between a few %
and 10% depending on the burnup, the irradiation power and the type of fuel). This release occurs at
the beginning of the temperature rise at around 1000°C, although the temperature may be lower in the
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case of fuels with a high burnup. The second phase involves the release of the intragranular gas as a
result of a thermally activated diffusion process, beginning with the dissolved atoms. The gas trapped
in the nanometric intragranular bubbles are the last to be released, often only at the point at which
the fuel melts.
When modelling the release of gas, it is therefore important to have a good quantitative assessment of
the respective proportions of these three populations. These depend on their radial position within the
pellet (different temperatures and rim type micro-structure at the edges, etc.) and on the type of fuel
(the intergranular fraction is higher in the case of heterogeneous MOX fuels). It should also be noted
that these fractions also depend on the radioactive half-life of the gas, which has a beneficial effect on
the source term as short half-life gas have had time to decay after they have migrated to the grain
boundaries. This effect is also essentially beneficial in the case of LOCA and RIA accidents, as the total
inventory of the gas is eventually all released in the event of a severe accident.
7.1.2.2 Fission products
It is generally accepted that the release of fission products is a two-stage process: (i) Fission products
in solution in the matrix, or in the form of a precipitate once the limit of solubility has been reached,
diffuse towards the grain boundaries, and (ii) a mass transfer or vaporisation process carries the fission
products out of the grain boundaries. The second of these stages has a number of physical and
chemical aspects. These include the potential formation of defined compounds (CsI, molybdates,
zirconates and uranates of caesium, barium, strontium, etc.) and the oxidation or reduction of
precipitates by steam and/or hydrogen. These chemical reactions significantly affect the volatility of
some elements. It should be noted that the basic high-temperature thermodynamic data relating to the
formation and decomposition of these compounds is not well understood at the present time. This
makes the mechanistic modelling of these processes difficult.
In addition to the release of fission products directly from the fuel matrix, potential chemical
interactions with the cladding and/or structural components of the core may also reduce the volatility
of some elements by the formation of more refractory compounds. Finally, even once they have
escaped from the core, a significant proportion of the fission products condense in cooler areas within
the structure of the upper head before reaching either the reactor cooling system or the containment
building. This is particularly true in the case of the less volatile fission products.
From a qualitative point of view, the main physical parameters affecting the release of fission products
are as follows:
• The temperature is the main parameter, at least in terms of determining the loss of core
geometry.
• The oxidising or reducing conditions experienced by the fuel also play a major role. In particular,
the kinetics of the release of volatile fission products are accelerated under oxidising conditions.
The total release of some fission products is also very sensitive to the oxygen potential. For
example, the release of Mo is greater in the presence of steam, that of Ru may be very high in the
presence of air and, conversely, the release of Ba, Ce and Eu is greater under reducing conditions.
- 156 -
• Interactions with the cladding and/or structural components may also play a significant role. For
example, the presence of tin in the cladding slows the emission of the volatile elements tellurium
and antimony. Barium, which makes a major contribution to the residual power via its descendant 140La, is also partially trapped in the cladding (probably due to the formation of zirconates) and in
the internal core structure (iron).
• The burnup increases the release, partly through the kinetics of the volatile fission products, and
partly through the extent of the release of low volatile elements such as Nb, Ru, Ce and Np.
• The type of fuel also appears to play a significant role. The releases from MOX tend to be higher
than those from UO2. This phenomenon is probably associated with the heterogeneous
microstructure, with the presence of clusters rich in plutonium where the local burnup is very high.
• Finally, the morphology of the fuel during its degradation in-vessel also plays an important role.
The change from a ‘degraded fuel rod’ to a ‘debris bed’ geometry is accompanied by an increase in
the release of fission products due to an increase in the surface area/volume ratio, while the
opposite occurs during the transition from a ‘debris bed’ to a ‘molten pool’ as a solid crust forms
on the surface of the pool.
7.1.2.3 Degrees of volatility
To conclude, the current knowledge resulting mainly from the VERCORS analytical experiments and the
PHEBUS integral tests (see Section 7.1.3) has enabled the fission products and fission gasses to be
classified in four classes of decreasing volatilities with the following characteristics (Figure 7.1-1):
• Volatile fission gas and fission products (Kr, Xe, I, Cs, Br and Rb, together with Te, Sb and probably
Ag): Almost the total quantity of these products present is released even before the formation of
the molten pool. The release kinetics of all these elements is accelerated under oxidising
conditions, and slightly slowed in the case of Te and Sb by interaction with the tin in the cladding,
although this is not really significant.
• Semi-volatile fission products (Mo, Ba, Y and Rh): These products are characterised by a level of
release that can be very high, in some cases equivalent to the volatile fission products. The release
can be almost total, but these products are very sensitive to the oxidising or reducing conditions
and they tend to be retained to a large degree by the structures in the upper head.
• Low volatile fission products (Sr, Nb, Ru, La, Ce, Eu and Np): These fission products are
characterised by a low but significant level of release, up to 10% during the fuel rod degradation
phase prior to the loss of core geometry. However, this release may be considerably higher in the
case of high burnup fuels (releases of between 15 and 30% have been measured for Nb, Ru and Ce
from a UO2 fuel at GWd/t) or under specific conditions (e.g. Ru in air). It is expected, however,
that the retention in the structures of the upper head will be high.
• Non-volatile fission products (Zr and Nd): No significant release of these products has been
measured experimentally at the present time. These are the two most refractory fission products.
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-20%
0%
20%
40%
60%
80%
100%
15:00 16:00 17:00 18:00 19:00 20:00 21:00 22:00 23:00
Time (hh:mm)
Relea
sed
fraction
(%)
0
400
800
1200
1600
2000
2400
Cs137Ba140Ru103Zr97Fuel temperature (°C)
Figure 7.1-1: Illustration of the four fission product volatility classes following a VERCORS test
7.1.3 EXPERIMENTAL PROGRAMES, MODELLING AND COMPUTER CODES
7.1.3.1 Main experimental programmes
The experimental programmes devoted to the release of fission products have mainly been out of pile
analytical experiments carried out on sections of irradiated fuel. Additional integral tests would be
useful, especially in relation to the link between the degradation of the core and the release of fission
products.
7.1.3.1.1 Analytical experiments
Five large-scale analytical programmes have been carried out since the end of the 1970s in Germany
(SASCHA [7.1_4]), the USA (HI/VI [7.1_5]), Canada (CRL [7.1_6]), Japan (VEGA [7.1_7]), and France
(HEVA/VERCORS [7.1_8]). The HEVA/VERCORS programme is described in more detail as the quality and
accessibility of the results have made it one of the most useful.
• The SASCHA programme was the first of this type. It was carried out using non-irradiated UO2 fuel
under a range of atmospheres including argon, air and steam. The UO2 pellets were manufactured
specially with additives simulating the fission products. Although these conditions were not really
representative of the actual implantation of fission products by irradiation, this programme did
contribute the first estimates of the release of iodine and caesium at temperatures of up to 2000
°C.
• The HI/VI programme was carried out by ORNL between 1981 and 1993 (six HI tests and seven VI
tests). The experimental configuration, at least in the case of the VI tests, was close to that of the
VERCORS programme with a loop fitted with sequential thermal gradient tubes (TGT), filters, a
condenser and traps for the collection of active gas. The fuel sample was a section of irradiated
UO2 approximately 15 cm long and closed at the ends. A hole was drilled in the cladding half way
- 158 -
along. This programme provided important and representative results on the release of fission
products, but only in relation to long half-life fission products (mainly 85Kr, 106Ru, 125Sb, 134Cs, 137Cs, 144Ce and 154Eu) as the samples were not re-irradiated prior to the tests.
• The CRL programme is a highly analytical programme that is still in progress at the present time. It
consists of a number of tests on fragments of irradiated fuel (100 mg to 1 g) or on short fuel
sections (including the cladding). The use of a furnace heated by electrical elements limits the test
temperatures to a maximum of 2000 °C. Some samples were re-irradiated immediately prior to the
tests in order to measure the short half-life fission products. One of the most important results
from this programme was the first quantification of the very high release of ruthenium in air.
• The VEGA programme is very similar to the VERCORS programme, especially the VERCORS HT
series. This programme is now complete. Ten tests were carried out, eight on UO2 fuel and two
using MOX fuel. Some of the tests were carried out in a steam atmosphere up to the temperature
at which the fuel melted. Some of the samples were re-irradiated prior to the tests. However, this
was under less than optimal conditions (irradiation time too short and decay time too long). A
unique feature of these tests was the inclusion of tests at a pressure of 1 MPa. These tests showed
a reduction in the release of caesium.
• The HEVA/VERCORS programme, financed jointly by the IRSN and EDF, aimed to quantify the
release of fission products and heavy nuclei (kinetics and total release) from irradiated nuclear fuel
under conditions representative of a severe accident. These tests, carried out in a high activity
cell, were performed on samples of different types of fuel irradiated in a PWR (around 20 g of fuel)
under a range of experimental conditions. The majority of the samples were re-irradiated over a
few days at low power in an experimental reactor in order to build up an inventory of the short
half-life fission products producing the worst radiological effects. These samples were then heated
in an induction furnace under an atmosphere consisting of a mixture of steam and hydrogen the
conditions simulating a severe accident (Figure 7.1-2). The release of fission products was
measured on line by means of gamma spectrometry during the accident sequence, with a direct
view of the fuel. Twenty-five tests were carried out between 1983 and 2002 in three phases: Eight
HEVA tests (release of volatile and some semi-volatile fission products at temperatures of up to
2100 °C), six VERCORS tests (volatile, semi-volatile and some low volatile fission products at
temperatures of up to 2300 °C, the limit for collapse of the fuel), and eleven HT/RT tests involving
all types of fission products up to the point at which the fuel melted. The results of these tests
were used to establish one of the largest databases relating to the release of fission products. The
parameters investigated during these tests included temperature reached (above or below the
melting point of the fuel), the oxidising or reducing conditions of the atmosphere, the burnup, the
type of fuel (usually UO2 with two tests using MOX) and the initial fuel geometry (intact or fuel
debris to simulate the final phase of a severe accident).
At the present time, there are still some remaining uncertainties relating to the release of fission
products. This is particularly the case for high burnup UO2 fuels (70 GWd/t and above), MOX fuels, and
in certain scenarios including the entry of air or reflooding. The future VERDON programme (CEA-EDF-
IRSN), which is part of the new international Source Term programme [7.1_9], should address these
- 159 -
topics with the exception of reflooding. The Russian ISTC QUENCH programme should also be noted as
this is the only analytical experiment addressing the reflooding issue on irradiated fuel. This
programme will consider the reflooding case by heating a fuel section of irradiated UO2 (60 GWd/t) up
to 1600 °C under steam, followed by reflooding with cold water (see Section 3.1).
To gas chromatography
TGT
HFFURNACE
CONDENSER
GAS CAPACITY
Neon
To gas chromatographySteam
HeliumHydrogen
PyrometerHelium
Chromatographycalibration
COLDTRAPS (2)
IMPACTOR
Ge(HP)detector
VentingAEROSOLS
FILTER
IODINEFILTER
DRYERS
1 2
Ge(HP)detector
Ge(HP)detector
Ge(HP)detector To gas chromatography
TGT
HFFURNACEHFFURNACE
CONDENSER
GAS CAPACITY
Neon
To gas chromatographySteam
HeliumHydrogen
PyrometerHelium
Chromatographycalibration
Chromatographycalibration
COLDTRAPS (2)
COLDTRAPS (2)
IMPACTOR
Ge(HP)detectorGe(HP)
detector
VentingAEROSOLS
FILTERAEROSOLS
FILTER
IODINEFILTERIODINEFILTER
DRYERS
1 2
Ge(HP)detectorGe(HP)
detector
Ge(HP)detectorGe(HP)
detector
Ge(HP)detectorGe(HP)
detector
Figure 7.1-2: The VERCORS HT loop
7.1.3.1.2 Integral tests
The PHEBUS-FP programme is the most recent and has provided the most representative data relating
to the overall situation during a severe accident [7.1_9]. The tests covered all phases of an accident,
from the start of the degradation of the core through to the formation of a molten pool within the
reactor vessel. The stacked section consisted of a bundle of 20 irradiated fuel rods surrounding a
central rod simulating a control rod (AIC or B4C), except for test FPT0 which used 20 un-irradiated fuel
rods and test FPT4 which used a debris bed configuration. The released fission products were carried
through temperature controlled lines in order to simulate the conditions in the reactor cooling system.
This system fed into a 10 m3 tank simulating the containment building of a PWR. The tank had a sump
in the base containing water at a controlled pH.
Five tests were carried out between 1993 and 1999:
• Test FPT0 was carried out using fresh fuel with an AIC control rod under steam-rich conditions with
an acid sump.
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• Test FPT1 was identical to FPT0, but with the fuel irradiated at 24 GWd/t.
• Test FPT2 used the same fuel and control rod as in test FPT1, but in a less oxidising environment
with an alkaline sump that was evaporating by the end of the test.
• Test FPT3 was carried out under the same conditions as FPT2, but with a B4C control rod and an
evaporating acid sump.
• Test FPT4 used an initial debris bed configuration to simulate the final phase of a severe accident.
The main advantage of the PHEBUS-FP programme over the analytical tests in terms of the in-vessel
release of fission products was the identification of a link between the degradation and the release of
barium, and the low level of release from the molten pool. The release of barium was much less than
was the case in the analytical tests, the difference in behaviour being attributed to interactions
between the Ba and the cladding, and possibly iron, that reduced its volatility. The results for the
release of other fission products were consistent with those from the analytical tests.
7.1.3.2 Modelling and computer codes
Two approaches have been followed to model the release of fission products and to incorporate these
models in simulation code. One is an empirical approach which is easy to integrate within scenario
codes, the other is a mechanistic approach which better describes the totality of the physical
phenomena. Examples of two IRSN software tools are given in order to illustrate these two approaches.
These are: ELSA, the release model incorporated in the ASTEC code, and MFPR, a mechanistic model
developed at the IBRAE in Russia.
7.1.3.2.1 The empirical approach used in the ELSA code
The ELSA code [7.1_10] models three categories for the release of fission products, based on the
simple principle of the ‘limiting phenomenon’.
• The release of volatile fission products (Xe, Kr, I, Br, Cs, Rb, Sb and Te) is governed by the
mechanism of diffusion within the grain of the fuel using an improved Booth model. The diffusion
coefficient is a function of the temperature and also the stoechiometry of the fuel. This coefficient
is identical for all fission products except for Sb and Te. In the case of these two products, the
release is delayed to take account of their retention within the grain until it has become fully
oxidised.
• The release of semi-volatile fission products is governed by the mass transfer resulting from
vaporisation at the grain boundaries. The tables of vapour pressures are generated from
thermodynamic correlations performed using the GEMINI 2 (Sr, Ru, Ba and La) or FACT (Mo, Ce and
Eu) solvers. It should be noted that the same mass transfer mechanism is then applied to all the
fission products in order to model their release from the molten pool.
• The release of the remaining non-volatile fission products is governed by the vaporisation of the
over-stoechiometric UO2 as it oxidises, eventually forming UO3. This category also includes the
actinides U, Np, Pu, Am and Cm.
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7.1.3.2.2 The mechanistic approach used in the MFPR code
MFPR [7.1_11] is a 0-D mechanistic code used to simulate the releases from solid UO2 fuel. The fission
products, assumed to be stable, are incorporated in the fuel matrix in either atomic form or as oxides.
Two types of model have been developed, one relating to fission gas and the other to fission products.
The fission gas model includes all the physical phenomena described in Section 7.1.2.1, including the
intragranular diffusion of atoms and bubbles towards the grain boundaries, the bubble formation
mechanisms (nucleation and growth) and bubble destruction mechanisms (return into solution). The gas
are released from the grain boundaries following the coalescence and interconnection of the gas
bubbles.
The current fission product model covers thirteen elements; Cs, I, Te, Mo, Ru, Sb, Ba, Sr, Zr, La, Ce,
Nd and Eu. These are assumed to diffuse towards the surface of the grain, with some being oxidised on
the way. They therefore form three distinct phases, a metal phase, a ternary phase known as the grey
phase consisting of fission product oxides, and a separate phase describing the form of CsI. The release
is subsequently governed by these three phases coming to thermodynamic equilibrium with the gas at
the phase boundaries.
The validation process for these codes is well advanced. The release of volatile fission products gives a
good reproduction of experimental observations despite the fact that the ELSA approach tends to
under-estimate slightly the release at intermediate temperatures (between 1000 and 1500 °C). This is
due to its failure to take account of the intergranular inventories. The highest uncertainties relate to
the simulations of semi-volatile and low volatile fission products, mainly due to the difficulty of
modelling accurately the chemical mechanisms involved and their potential interactions with structural
components (control rods, internal core structures, etc.).
7.1.4 SUMMARY AND OUTLOOK
The database of experimental results obtained from the analytical tests carried out on sections of
irradiated fuel is fairly extensive in the case of medium burnup UO2 fuels. Additional data is available
from the integral tests such as PHEBUS-FP. These experiments have refined the present knowledge
base in relation to the parameters influencing release into the environment, including the
temperature, the oxidising or reducing conditions, the interactions with structural materials especially
the fuel rod claddings, the burnup, the type of fuel (UO2 or MOX) and the state of the fuel (solid or
molten fuel).
These results have been used to develop and validate two types of model. Mechanistic models are
capable of describing the majority of the interactions taking place within the fuel and are often used in
the interpretation of test results. Simplified models may be derived from them in order to describe the
dominant phenomena. These simplified models are then used in the fission product release modules of
integral codes.
Some of the hypotheses put forward to interpret the test results successfully reproduce the
dependence of the release on the parameters of temperature, burnup, and the composition of the
atmosphere surrounding the fuel. They are mainly based on the physical and chemical transformations
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taking place within the fuel. The MFPR code used in the interpretation of the test results is capable of
describing the behaviour of the fission gas, the variations in the composition of the various phases
containing the fission products within the fuel, and the chemical speciation of the elements concerned.
However, these hypotheses suffer from a lack of validation at the present time. This is expected to be
addressed by a programme of microanalyse performed on fuel samples, which where previously used in
release tests as part of the international Source Term programme. The knowledge acquired in this way
will enable the results to be extrapolated to new fuels, reducing the need for future release tests.
The database of experimental results available at the present time is, however, considered to be
insufficient. It is therefore proposed to extend the experimental programme to include MOX fuel (2
tests) and high burnup UO2 fuel (1 test) as part of the VERDON programme included within the
international Source Term programme. The results of these tests will be used to validate, and even to
improve, the models developed earlier.
The release of fission products during the reflooding of high burnup fuel has been studied
experimentally as part of the ISTC-QUENCH programme. The case for additional experimental work will
be examined in the light of the results of these tests.
Accidents involving the entry of air, for example following a breach in the reactor vessel or with the
reactor shut down, will also be examined. Available data, mainly originating in Canada, shows that
ruthenium behaves like a volatile fission product under these conditions and may be almost completely
released [7.1_12]. Models are currently in development and should be available by the end of 2006.
They will be validated by a specific VERDON test to investigate the release in air.
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7.2 TRANSPORT OF FISSION PRODUCTS IN THE PRIMARY AND SECONDARY
CIRCUITS
7.2.1 DEFINITION AND OVERALL PHENOMENOLOGY
The fission products and structural materials are released from the core mainly in the form of vapours.
These vapours cool down in the upper part of the reactor pressure vessel and then in the reactor
cooling system. A number of phenomena occur during this cooling. These include:
• The condensation of vapours on nucleation kernels to form fine particles. This process is commonly
referred to as homogeneous nucleation.
• The condensation of the vapours on existing particles. This process is referred to as heterogeneous
nucleation.
• The condensation of the vapours on the walls forming deposits.
The temperatures at which these phenomena occur depend on the chemical form of the fission
products and structural materials, a point which will be discussed in Section 7.5. Following
condensation of the vapours, the transport mechanisms for the fission products and structural
materials are, with the notable exception of iodine and ruthenium, governed mainly by aerosol physics.
The main phenomena are shown in Figure 7.2-1.
Gas phasechemical reactions
Inlet flow Supersaturated vapours
Condensation Deposition
ReleaseAgglomeratio
n
Sorbtion
Nucléation
Aerosol
cooler →→→→WALL
Gas phasechemical reactions
Inlet flow Supersaturated vapours
Condensation Deposition
ReleaseAgglomeratio
n
Sorbtion
Nucléation
Aerosol
cooler →→→→WALL
Figure 7.2-1: Aerosol transport phenomena
7.2.2 PHYSICAL PHENOMENA INVOLVED
7.2.2.1 Nucleation phenomena
The phenomenon of particle formation by homogeneous nucleation may be described using either a
microscopic or a simplified approach. Simulations using a simplified approach provide results that are
very close to those from a microscopic approach, and they are therefore generally chosen for use in
calculation codes.
- 164 -
The phenomenon of heterogeneous nucleation involves the condensation of a vapour on to existing
aerosol particles consisting of less volatile elements that have condensed at a higher temperature. The
existing models, based on the diffusion of molecules in a carrier gas, are considered to be satisfactory.
7.2.2.2 Coagulation or agglomeration phenomena
The particles (aerosols) formed by nucleation are caused to move relative to the carrier gas by
Brownian diffusion, turbulence and gravitational settling. This movement results in collisions between
particles causing them to agglomerate. The aerosol particles therefore increase in size as they are
transported. The typical size of an aerosol particle in the reactor cooling system is a few micrometres.
These phenomena are well understood and the available models give results that compare satisfactorily
with experimental data. It should however be noted that some of the parameters of the models, such
as the shape factor of the particles i.e. their deviation from perfect spheres, are less well understood.
This lack of understanding does not, however, appear to lead to any major uncertainties.
7.2.2.3 Deposition by vapour condensation
The fission products and structural materials released from the core in vapour form are partially
deposited on the cooler walls by condensation. This deposition phenomenon is usually described by
means of an analogy between heat and mass transfer. This assumes that the properties of the
molecules involved are known, especially their saturation pressure. The associated chemical aspects
are discussed in Section 7.5.
Prior to the PHEBUS-FP integral tests, there was a high degree of confidence in the models of
deposition by condensation. These tests have since shown that the condensation deposits were
underestimated.
The underestimation could be by a factor of up to two. A number of hypotheses have been proposed to
explain this difference. It has been concluded that it is due to effects associated with the fact that the
the flow is neither thermally nor hydraulically fully developed in Phebus experiments [7.2_1]. In such
situations, the heat exchange and mass transfer coefficients are increased, leading to a corresponding
increase in the deposits. A CFD calculations applied to PHEBUS have validated this explanation. The
improved models have yet to be incorporated in the simulation codes.
7.2.2.4 Deposition by gravitational settling
The aerosol particles are affected by gravity which imposes a downwards component on their
trajectories. This effect results in particles being deposited on horizontal surfaces. This deposition
phenomenon is only significant at low fluid velocities corresponding to long transit times.
This phenomenon is well understood and the available models give results that compare satisfactorily
with experimental data.
7.2.2.5 Deposition by Brownian or turbulent diffusion
The Brownian motion of the particles may bring them into contact with the walls where they are then
deposited. This phenomenon is only significant under laminar flow conditions, as turbulent diffusion
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becomes dominant at high speeds. These phenomena are well understood and the available models
again give results that compare satisfactorily with experimental data.
7.2.2.6 Deposition by impaction
This phenomenon occurs particularly at points where the geometry changes, such as bends in the
pipework, changes in cross-sectional area, obstacles, etc. The inertia of the particles causes them to
deviate from the flow stream lines and they collide with the walls. One important parameter is the
particle size. Deposition by impaction occurs mainly with larger particles.
In the case of the reactor cooling system, the most significant deposits occur at bends and changes in
cross-sectional area (e.g. on entry to the steam generator tubes). These phenomena are modelled on
the basis of correlations taken from the literature and the models are generally considered to give
satisfactory results. Deposits in the secondary circuit in the event of a STGR type sequence are
discussed in another section.
7.2.2.7 Deposition by thermophoresis
When particles are transported through a temperature field, the number of collisions between
molecules of the carrier gas and the particles is greater in the hotter regions than in the cooler
regions. This results in a movement towards the walls which are cooler than the gas. A large number of
theoretical and experimental studies have been carried out in the past, and these have resulted in a
generally accepted set of expressions for the deposition rate by thermophoresis [7.2_2]. Examples of
past experimental studies include the TUBA thermophoresis tests carried out by the IPSN [7.2_3].
The validation of the models against this type of test is satisfactory. However, the PHEBUS-FP integral
tests have revealed significant discrepancies between the model and the experimental results for
deposition by thermophoresis in a simulated steam generator. The models overestimate the deposition
by a factor of two. This is the case for all severe accident simulation codes. A number of ideas have
been investigated in an attempt to explain this difference, in particular the influence of the
differences between the PHEBUS tests and those used to validate the models such as the fluid-wall
temperature differences and the aerosols concentration. CFD calculations with particles tracking have
also been carried out [7.2_5], but there remains at the present time no convincing explanation of these
differences. Considering the large break sequences simulated in PHEBUS, these differences between
the calculations and experimental data have little impact on the source term as the retention in the
reactor cooling system is low. However, in the case of containment bypass sequences such as the
V_LOCA sequence, retention in the pipework has a significant impact on the potential releases. Work is
therefore continuing with the aim of understanding the phenomena observed in PHEBUS.
7.2.2.8 Deposition by diffusiophoresis
Steam condenses on the walls when they are cooler than the saturation temperature of the steam. This
condensation cause a flow of gas (at the Stefan velocity) which draws particles towards the wall
[7.2_4]. A description of this deposition phenomenon requires an accurate calculation of the steam
condensation which is generally considered to be low in the reactor cooling system. The validation of
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the models was mainly based on the results of the TUBA diffusiophoresis tests carried out by the IPSN
[7.2_6].
7.2.2.9 Mechanical resuspension
A number of phenomena, including the production of steam following reflooding of the core, may
result in significant deposits in the pipework. The deposited particles may then be flushed along
mechanically. This phenomenon may be significant in the case of highly turbulent flows or dry deposits.
The associated physics is relatively complex. It may be summarised by the statement that resuspension
occurs when the aerodynamic forces exerted on the particles are greater than the adhesive forces
holding them to the walls. Several models have been developed with a number of different
assumptions such as whether the deposited particles are in a single layer or in multiple layers. The
validation of these models is mainly based on the results of the STORM tests [7.2_7] carried out at the
ISPRA Joint Research Centre in Italy. This validation is not considered to be adequate. It should be
noted that this point may have a safety impact in containment bypass sequences such as V_LOCA and
STGR, in which the retention in the pipework may be significant.
7.2.2.10 Revolatilisation
This phenomenon is the opposite of deposition by the condensation of vapour. When the conditions
change (temperature, oxygen potential of the fluid, or vapour concentration), the deposited vapours
may revolatilise. In view of the importance of the associated chemical aspects, this point will be
discussed further in Section 7.5.
It should be noted that this phenomenon was clearly demonstrated during the PHEBUS integral tests
and the VERCORS release tests.
7.2.2.11 Deposits in the secondary system (steam generator)
These occur during STGR sequences, with either an initial breach or an induced breach. Depending on
the circumstances, the steam generator secondary system will be either dry or flooded. At the present
time, conservative assumptions are used in the evaluation of retained aerosols on the secondary side of
the steam generator as there have been very few experiments carried out under representative
conditions and the existing simulation codes (SPARC, BUSCA and SUPRA) have not been fully validated.
A more realistic approach to retention in the secondary side of a steam generator is therefore
required. It will use the results of the current ARTIST experimental programme [7.2_8].
7.2.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES
The phenomena associated with aerosol physics have been the subject of a large number of theoretical
and experimental studies in the past, many outside the nuclear field, and the basic relationships and
models are well established. Those models for which a general consensus exists have been incorporated
in the codes simulating severe accidents, including the SOPHAEROS module in the IRSN ASTEC integral
code.
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The requirements for additional R&D programmes have been identified as part of the SARNET
programme. The following two main directions have been identified for studying the transport or
aerosols in the primary and secondary cooling systems:
• Mechanical resuspension:
A number of experimental programmes are currently in progress (PECA, ARTIST and VTT-DEPOS)
which should result in the development of improved models.
• Deposits in the secondary side of the steam generator:
This is currently being studied as part of the ARTIST programme, carried out by PSI in Switzerland in
partnership with the IRSN. The experimental steam generator is based on the FRAMATOME design,
with a reduced height of 3.8 metres. The internal structures are all present and the upper
structures (separators and dryers) are represented at the same scale as the actual steam generator
in the Beznau nuclear power plant. The experiments will study the retention of aerosols under ‘dry’
conditions in a number of regions, including the broken tubes, close to the break, beyond the
breaK, and in the separators and dryers. Retention in a flooded steam generator will also be
investigated. The model derived from these experiments will be incorporated in the SOPHAEROS
module of the ASTEC integral code.
• The retention of aerosols in cracks in the containment building:
This topic will be studied as part of the SARNET network of excellence. Models for the retention of
aerosols are currently under development or are being validated against the results of previous
tests. One important point that needs to be more investigated is the increase in retention due to
the condensation of steam. Suitable installations for carrying out additional tests have been
identified (COLIMA at CEA Cadarache, and installations at the IRSN Saclay site). Proposals for
additional tests are currently under discussion within SARNET.
7.2.4 SUMMARY AND OUTLOOK
The physical phenomena associated with the transport of aerosols in the reactor cooling system are
generally well understood and models have been developed to describe them, often based on data
obtained in fields other than nuclear engineering. The main deposition phenomena, such as
thermophoresis and the diffusiophoresis, have been the subject of specific experimental programmes
in the past with the aim of validating models.
The models describing the phenomena of the mechanical resuspension of deposits as a result of high
flow rate are less well validated. Work is currently in progress as part of the European SARNET network
of excellence with the aim of improving the mechanical resuspension models by the use of existing
data or data obtained during current programmes on the behaviour of aerosols in the secondary side of
steam generators.
The retention of aerosols in the secondary side of steam generators is poorly quantified, leading to the
use of retention coefficients that may be too conservative in safety studies. This problem is currently
being studied as part of the international ARTIST programme being carried out by PSI in Switzerland.
- 168 -
At the present time, the safety studies assume that the emission of aerosols through cracks in the
containment building is proportional to the leakage rate without taking any account of retention.
Current studies on this topic should eventually make it possible to use less penalising assumptions.
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7.3 EX-VESSEL RELEASE OF FISSION PRODUCTS
7.3.1 DEFINITION AND OVERALL PHENOMENOLOGY
The release of fission products and aerosols outside the reactor vessel may be associated with a
number of phenomena, including:
• The release of aerosols from a boiling sump.
• Releases during molten corium-concrete interaction.
• The resuspension of aerosols deposited on the walls.
Releases of iodine and ruthenium both involve complex chemical processes and a specific discussion of
these elements is given in Section 7.5.
7.3.2 PHYSICAL PHENOMENA INVOLVED
7.3.2.1 Release of aerosols from a boiling sump
Most of the aerosols released within the containment eventually reach the water in the sump as a
result of gravitational settling. If the water in the sump begins to boil, the trapped aerosols may re-
enter suspension. The results of the REST tests [7.3_1] carried out by KFK in the past have been used to
develop semi-empirical models for both soluble and insoluble aerosols. These models have been used in
source term re-evaluation studies carried out by the IRSN.
7.3.2.2 Releases during molten corium-concrete interaction
This release phase involves mainly semi and low volatile fission products as the volatile fission products
are for the most part released within the vessel. The rates of release depend on the composition of the
corium, especially its metallic zirconium content, and on the composition of the concrete.
The releases may be estimated from the vapour pressures of the fission products calculated using
thermodynamic codes such as GEMINI, with the variable parameters being the composition of the
corium and the type of concrete. The highest values are obtained when the corium is rich in zirconium
and the concrete is a silica type. The only elements with a significant release (greater than 1%) are
barium and strontium.
As the rates of release are low, it has not been considered necessary to launch R&D programmes to
refine the results.
7.3.2.3 Resuspension of aerosols deposited on the walls
Certain events, such as the combustion of hydrogen and the interaction between corium and water,
may result in high flow rates close to the walls of the containment building. It is therefore likely that
any aerosols previously deposited on the walls would be resuspended (see Section 7.2). These
phenomena are not taken into account at the present time. The use of improved mechanical
resuspension models should eventually make it possible to evaluate their effects. However, it is not
- 170 -
expected that their influence will be significant in terms of radiological consequences for the
environment.
7.3.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES
The impact on the source term of releases from a boiling sump and during a molten corium-concrete
interaction is relatively low. Specific models are available to the IRSN in order to evaluate these
releases, but these are not incorporated in the ASTEC integral computer code. The work to incorporate
these models has not been considered to take priority over other development requirements.
7.3.4 SUMMARY AND OUTLOOK
The ex-vessel release of fission products may occur if the sump begins to boil (release of aerosols) or
they may be released from the corium during its interaction with concrete. The studies carried out up
to now have indicated release rates that are low compared with in-vessel releases. Additional R&D
programmes to address these two questions have not been considered necessary.
The possible resuspension of aerosols deposited on the walls in response to ‘violent’ events such as the
combustion of hydrogen has not been investigated in detail at the present time. An evaluation using
improved resuspension models might eventually be possible.
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7.4 BEHAVIOUR OF THE AEROSOLS WITHIN THE CONTAINMENT BUILDING
7.4.1 DEFINITION AND OVERALL PHENOMENOLOGY
The aerosols emitted within the containment building are subjected to the phenomena of
agglomeration and deposition. The aerosols may also be re-suspended from the deposits. The basic
physical phenomena are the same as those governing transport in the reactor cooling system. They
depend on the thermal hydraulic conditions (the relative humidity and whether or not the steam
condenses). The main deposition phenomena are gravitational settling and diffusiophoresis. Some
safety systems, such as spray, also have a major influence on aerosol concentrations.
7.4.2 PHYSICAL PHENOMENA INVOLVED
7.4.2.1 Agglomeration and coagulation
The agglomeration phenomena acting on the fission products are the same as those in the reactor
cooling system. They result in an increase of the particle sizes, accelerating deposition by gravitational
settling.
The phenomena of hygroscopicity may also play an important role. Some compounds, such as caesium
hydroxide, have the ability to absorb water molecules up to the point at which droplets form and the
solid material is dissolved. This results in an increase of the aerosol particle, accelerating gravitational
settling.
Models are available to calculate the size of the droplets formed at equilibrium as a function of the
temperature and relative humidity. These models use the Mason equation, which takes account of the
Van’t Hoff factor describing the number of ions in which a molecule dissociates to form an ideal
solution. A correction is applied to take account of the surface tension of the liquid (the Kelvin effect).
One of the difficulties in using this type of model is the need to know the chemical species formed by
the fission products. Until recently, it was generally accepted that caesium would be injected into the
containment building mainly in the form of the hydroxide, which is strongly hygroscopic. The first two
PHEBUS-FP tests showed that this was not the case. Thermodynamic calculations taking account of the
actual release of molybdenum have shown that the most likely chemical form is caesium molybdate.
This is consistent with the volatility of the caesium as measured during the tests. However, this result
cannot be directly extrapolated to all situations and all sequences. The same tests also showed that
the aerosol particles were formed from agglomerates containing all the emitted fission products and
structural materials, most of which were insoluble.
Care is therefore needed when considering the hygroscopicity of the aerosols and sensitivity
calculations may be needed in order to assess the relative weightings of the various parameters.
7.4.2.2 Washout of deposits by the condensates
The aerosols deposited on the walls may be washed out into the sumps by the condensed water. A
simplistic solution, which is however justified by the physics, is to assume that insoluble aerosols are
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not washed out, while soluble ones are. This raises the same difficulties as those described in the
previous Section. There is little risk of error, however, in assuming that the barium and caesium are
always soluble.
7.4.2.3 Aerosol depletion by spray
The main aim of spray is to avoid an excessive rise in pressure within the containment building. This
system is also capable of causing a rapid decrease in the concentration of aerosols in suspension. In the
past, simple models based on a time constant have been used. More recent studies have enabled a
better physical description of the phenomena involved to be developed.
The depletion of aerosols by spray depends on the characteristics of the droplets, especially their
mass, velocity and temperature as they fall. The changes in these characteristics depend on
evaporation and condensation, and on the coalescence of the droplets.
The aerosols are trapped by the droplets by means of the following mechanisms:
• Inertial capture and interception: Larger particles may not be pushed sufficiently far from the flow
stream lines to avoid collision with the droplets.
• Brownian diffusion. This mechanism is particularly effective in the case of small particles close to
the droplets.
• Phoretic capture, associated with the movement of the particles in a temperature field. This
mechanism is particularly effective in the upper part of the containment building before the
droplets reach thermal equilibrium with the atmosphere.
7.4.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES
The basic mechanisms associated with aerosol physics are described by proven models, often based on
data acquired outside the nuclear field. These models have been validated, where necessary, by means
of specific experimental programmes such as PITEAS at the IPSN, Cadarache [7.4_1].
The most recent R&D work has been focused on the depletion of aerosols by spray, with the aim of
quantifying the kinetics and the limiting efficiency of spray in the case of aerosols and gaseous iodine
in current reactors, and of optimising the spray aerosol depletion function in future reactors.
• From the experimental point of view, the CARAIDAS tests [7.4_2] carried out at IRSN Saclay have
measured the basic efficiencies of the various mechanisms involved in the collection of aerosols
and gaseous iodine species by a droplet in steady-state conditions, over a range of conditions
representative of a severe accident (temperature, pressure, humidity, droplet pH, and iodine
concentration). The experiments were performed in a cylindrical tank, 5 metres high by 0.6 metres
in diameter.
A new programme, TOSQAN AEROSOLS, is about to start work on this topic. The aim of these tests,
to be carried out using the TOSQAN facility (see Section 4.2.3.1.3), is to improve understanding of
the collection of aerosols by a spray of water droplets in a situation representative of a severe
accident in a PWR. The aim is therefore to extrapolate the models developed during the CARAIDAS
programme to include operational conditions closer to those during actual spray operation.
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• From a modelling point of view, a detailed physical description of the changes taking place in a
water droplet as it falls, together with the various aerosol capture mechanisms, has been
developed. The models are incorporated in the CPA module of the ASTEC integral code. The
thermal hydraulic aspects have been validated against the CSE tests [7.4_3] carried out in the USA,
and the aerosol aspects against the CARAIDAS tests [7.4_2].
7.4.4 SUMMARY AND OUTLOOK
The phenomena governing the behaviour of aerosols in the containment building are generally well
understood and physical models have been developed to describe them, often based on data obtained
in fields other than nuclear engineering. The main deposition phenomena, such as diffusiophoresis and
gravitational settling, have been the subject of specific experimental programmes in the past with the
aim of validating models.
- 174 -
7.5 THE CHEMISTRY OF FISSION PRODUCTS
7.5.1 DEFINITION AND OVERALL PHENOMENOLOGY
Fission products are emitted from the fuel in the form of vapours. They are emitted in a chemical form
that depends on an equilibrium with the condensed phase in which they are present in the fuel. This
equilibrium varies during the course of an accident, mainly due to variations in temperature and
oxygen potential. The emitted fission products encounter a variety of environments during their
transport, with variations in the temperature and composition of the carrier gas, and their chemical
speciation in the reactor cooling system may thus change. Most of the chemical reactions take place in
the gas phase, but the vapours also interact with the walls of the pipework. The structural materials
released from the core also have play a role. These include silver-indium-cadmium or boron carbide
materials from the control rods, and tin from the zircaloy cladding.
The majority of the fission products are released into the containment building in a condensed form
(aerosols) or rapidly condense shortly after release (e.g. in the case of a hot leg break). It is generally
accepted that the potential chemical reactions involving aerosols in suspension in the atmosphere of
the containment building do not have a significant effect. A large fraction of the aerosols is washed
down into the sump water where they may or may not dissolve depending on their chemical speciation.
The two specific cases of iodine and ruthenium merit consideration as they may be present in gaseous
form within the containment building in quantities that are small but significant from a safety point of
view. The chemistry of these two highly radiotoxic elements [7.5_1] is complex in both the gas and
liquid phase, and they interact with both metal and painted surfaces. Their interaction with radiolysis
products from water and air also needs to be taken into account.
7.5.2 PHYSICAL PHENOMENA INVOLVED
7.5.2.1 Chemistry in the gas phase in the reactor cooling system
It is possible in principle to calculate the chemical speciation at equilibrium if the concentrations of
the various elements and the thermodynamic properties of the possible species are known. The second
of these poses a number of difficulties as the available databases are limited in extent and
uncertainties remain in the case of some of the data.
Thermodynamic equilibrium is also not always reached. While this is very likely at the high
temperatures prevailing close to the core, it is certainly not the case in the cold leg where the
temperatures are too low. This implies that the chemical kinetics in the temperature transition zones
will affect the species formed.
The studies carried out in the past with the aim of determining the species formed have concentrated
on volatile elements and a simple Cs-I-O-H system [7.5_2], taking account of the effects of boric acid.
In the absence of boron, these studies conclude that iodine is transported in the form of caesium
iodide, CsI, with the remaining caesium in the form of the hydroxide, CsOH. The presence of boron
may result in the formation of caesium borate which is less volatile than the hydroxide. This would free
- 175 -
some of the iodine to form hydroiodic acid, HI, which is more volatile than caesium iodide [7.5_4].
These studies are based on experiments with simulated fission products similar to those in the Winfrith
FALCON programme [7.5_3].
The results of these studies led the developers of early developed codes such as MELCOR to fix the
chemical form of the elements being transported without calculating the chemistry. In more recent
codes, such as SOPHAEROS, the chemical speciation is calculated. Simplified calculations based on an
extended database are used rather than full thermodynamic calculations.
The chemical forms assumed in the past have been brought back into question following the results of
the PHEBUS-FP programme [7.5_7], [7.1_9]. The advantage of this programme is that a bundle of
irradiated degrading fuel rods is used as the source of the fission products and structural materials. It is
probably the most realistic source that can be possibly achieved, both in terms of the composition and
the release kinetics.
In the PHEBUS-FP tests, the chemical forms are not measured directly, given the detection limits of the
various techniques available for use on small molar quantities of radioactive materials. However, an
indirect indication is provided by the volatility of the elements (condensation temperature) and their
solubility in water or acid.
In the case of caesium, the results from the first two tests have shown that it exists mainly in
condensed form at 700 °C, which is incompatible with the hydroxide form. The results also show that
the release of molybdenum in an oxidising atmosphere is greater than predicted. The molybdenum is
also in excess relative to the caesium favouring the formation of caesium molybdate which is less
volatile than the hydroxide. This behaviour is predicted by the SOPHAEROS code. The developers of the
USNRC MELCOR code have now incorporated this species in their code.
In the case of iodine, excluding the gaseous forms which will be discussed later, the SOPHAEROS code
predicts the formation of caesium or rubidium iodide (with equivalent properties). The PHEBUS tests,
particularly FPT-2, show that this is not always the case. Depending on the conditions, caesium iodide
may be absent or present, together with at least one other more volatile species. This chemical
speciation is not currently reproduced correctly by the models. The IRSN experimental CHIP
programme, described below, is expected to indicate the mechanisms involved and the species formed.
7.5.2.2 Interactions with the walls in the reactor cooling system
The fission product vapours may interact with the walls. Some elements, such as tellurium, may also be
chemisorbed increasing the deposition. However, this does not occur if sufficient tin from the zircaloy
cladding is transported with the tellurium. In this case, tin telluride is formed.
Fission product vapours condense on and interact with the metal walls. This is especially the case with
caesium. This interaction has been demonstrated in a number of experimental programmes, including
the PHEBUS-FP programme and the DEVAP programme [7.5_5] carried out at CEA Grenoble on behalf of
the IRSN. Re-vaporisation tests carried out on deposits on samples from the PHEBUS-FP FPT-1 test have
shown that the interactions between caesium and steel result in the formation of a number of species
- 176 -
with a range of volatilities [7.5_6]. The deposited fission products may be revolatilised some time after
the main phase of emission from the core. This may result in delayed emission.
7.5.2.3 Chemistry of iodine
7.5.2.3.1 In the reactor cooling system
Iodine is likely to combine with a large number of other elements in the reactor cooling system,
including both fission products and structural materials. The main elements involved are caesium,
rubidium, silver, indium and cadmium. Iodine may also be present in atomic form I, in molecular form
I2 or as hydroiodic acid HI. All these forms are gaseous under the conditions present in the reactor
cooling system during a severe accident.
As a result of studies carried out following the TMI-2 accident, it was generally accepted that iodine
was transported in the form of caesium iodide CsI. However, in safety studies such as those carried out
during the evaluation of the NRC reference source term (NUREG 1465) [7.5_8], it has been assumed
that some of the iodine (5%) may be emitted in a volatile form (I and HI). The determination of this
fraction was not based on experimental results, but rather on accident sequences and thermodynamic
calculations on a simple Cs-I-O-H system taking account of the possibility of kinetic limiting.
The results of the PHEBUS-FP tests have shown that the situation is more complex. They have shown
that the iodine is not always transported mainly in the form of caesium iodide, and that many more
elements must be considered in studies aimed at determining its chemical form. A considerable body of
work has been carried out to compile and verify the thermodynamic data relating to the species that
may potentially be involved, and this has resulted in an extended database for use in simulation codes
such as SOPHAEROS. However, despite these efforts, this type of code still cannot reproduce the
behaviour of iodine in all the situations explored during the PHEBUS-FP programme.
An important phenomenon, the very short term presence of gaseous iodine in the containment building
during the PHEBUS-FP tests, cannot be explained by chemical reactions taking place within the
containment building. This has been attributed to an injection of gaseous iodine from the reactor
cooling system. The instantaneous fractions reached 30 % during the FPT-0 test and 4 % during the FPT-
1 test [7.5_9], [7.5_10]. It should be noted that:
• In these two tests, the maximum fractions were measured when the concentration of hydrogen in
the reactor cooling system was at a peak (∼ 50 %).
• These estimates were based on the assumption of a the cold leg break. The results from FPT-1 tend
to show that the gaseous fraction would be higher in the hot leg.
• The difference in concentration between the two tests (a factor of 30 times less iodine in FPT-0,
carried out using very low irradiated fuel, than in FPT-1) suggests an effect due to the kinetics of
the chemical reactions.
• The dependence of the gaseous iodine fraction on the concentration of hydrogen was less clear in
the FPT-2 test.
- 177 -
The three PHEBUS tests, FPT-0, FPT-1 and FPT-2, were carried out using a silver-indium-cadmium alloy
control rod, as used in a 900 MWe PWR. The most recent FPT-3 test was carried out using a boron
carbide B4C control rod. This material is used in the 1300 and 1450 MWe PWRs (and others) and is
planned to be used in the EPR. Although the processing of the measurements is still in progress, it is
sufficiently advanced to show that the fraction of iodine in gaseous form is much greater at over 80 %
[7.5_11]. At this stage, it is only possible to suggest hypotheses, that will later need to be validated or
rejected by specific experimental programmes, to explain this figure (see Section 7.5.3). These
hypotheses include the absence of silver, indium and cadmium, reducing the number of elements
available to combine chemically with the iodine, and the presence of large quantities of boric acid
arising from the oxidation of the control rod which could combine with caesium preventing the
formation of caesium iodide. The most volatile chemical forms of iodine may be favoured.
Care should be taken in attempting to extrapolate these results to accident sequences in a reactor.
While the results from the FPT-0 and FPT-1 tests may be taken into account in studies to re-evaluate
the source term, especially those at the IRSN in which an overall fraction of 5 % of gaseous iodine is
assumed following a break in the reactor cooling system, additional studies will be needed in order to
take account of the results from the PHEBUS-FPT-3 test. These studies must also cover the ultimate
fate of the iodine within the containment building as discussed below.
7.5.2.3.2 Liquid phase within the containment building
The iodine fraction injected into the containment building in the form of aerosols will behave
identically to the other aerosol particles (see Section 7.4). Most of these particles will be washed down
into the sump water. The majority of the metal iodides (CsI, RbI, CdI2, and InI) are soluble, with the
notable exception of silver iodide AgI. The soluble iodides are dissolved in water forming I- ions.
The large quantity of fission products released into the aqueous phase within the containment building
results in a very high dose rate and the formation of radiolysis products from the water. These include
reactive radicals such as OH-, O2-, etc. A large number of chemical reactions occur, with the net result
being the thermally activated and radiolytic oxidation of the iodide ions I- into volatile iodine I2. The
formation of I2 depends on many parameters, the most important being the pH of the water. If the
water remains alkaline, the rate of production of I2 is very low.
The water in the sump also contains organic materials originating mainly from the submerged paints.
The iodine reacts with organic radicals to produce volatile organic iodides such as methyl iodide CH3I,
or low volatile compounds with higher molecular weights.
- 178 -
I2
Water Radiolysis
in the presence of dissolved impurities:
oxygen, metal ions, nitric acid
RI
I−−−−, HOI, I3−−−−, IO3
−−−−, etc
Radiolysis of Organic Impurities
I aq( ad)
Surface
Gas Phase
Aqueous Phase
I−−−−
Figure 7.5-1: The main phenomena in the liquid phase
These reactions in the liquid phase (see Figure 7.5-1) have been studied in depth both experimentally
and theoretically, and the associated phenomena are reasonably well understood [7.5_12], [7.5_13].
Some uncertainties remain in relation to certain impurities such as the NO3–/NO2
– ions produced by the
radiolysis of air, the Fe2+/Fe3+ ions dissolved from the steel surfaces, and the Cl- ions resulting from
pyrolysis of the cables. The effects of these impurities are currently being studied in a number of
experimental programmes, particularly in Canada and Switzerland.
Following the first PHEBUS-FP tests it was noticed that the silver released from the silver-indium-
cadmium control rods could react with iodine in the liquid phase to form insoluble silver iodide. If
there is a sufficient excess of silver relative to the iodine, the concentration of iodide I- ions is greatly
reduced, resulting in a very low production of gaseous iodine I2. These phenomena have been
quantified in dedicated experiments and models have been developed. Of particular note are the
PHEBUS-RTF tests [7.5_14] carried out by AECL in Canada and the tests on the stability of silver iodide
AgI carried out by PSI in Switzerland as part of the PHEBUS-FP programme [7.5_15].
It should be noted that the chemical reactions in the liquid phase depend on a number of boundary
conditions including the temperature and the pH. The pH is not always easy to estimate if it is not
under control, for example in the event of a failure of the spray system in direct mode.
7.5.2.3.3 Gaseous phase within the containment building
The volatile iodine present in the containment building in the gaseous phase originates from:
• Volatile iodine injected from a break in the reactor cooling system.
• Volatile iodine produced by radiolytic reactions in the sump water.
The transfer of volatile iodine from the sump is determined by classical laws of physics. Mass transfer
models are available for both non-evaporating and, more recently, evaporating conditions.
Iodine present in the gaseous phase will interact with the various surfaces of the containment building,
mainly metallic and painted ones. These include physical adsorption and desorption in addition to
chemical reactions. These reactions are affected by the temperature and by radiation.
- 179 -
The available data relating to the adsorption and desorption of iodine results from both laboratory
scale experiments and more integral tests such as the RTF tests [7.5_16] in Canada and the CAIMAN
tests [7.5_17] in France. The parameters investigated were principally the type of paint, its aging, the
temperature and dose rate. The derived correlations correspond to a first order kinetics.
The most important interaction from a safety point of view is that between iodine and paints as this
results in the formation of organic iodides that are difficult to filter in the event of a filtered
containment venting (U5 procedure). The rates of production of organic iodides have been established
from the results of a large number of small-scale tests using samples of iodine-loaded painted surfaces
exposed to radiation in an atmosphere representative of that in the containment building. These tests
have shown that the effect of radiation is greater than that of temperature. The results of these tests
have been used to develop semi-empirical models. Given the wide variations in the results and the
difficulty in separating the influence of the various parameters, these models are only capable of
reproducing experimental results to within an order of magnitude.
Inorganic iodine I2 is oxidised when irradiated by the products of air radiolysis, ozone and the nitrogen
oxides. The resulting iodine oxides and nitroxides are claimed to be non-volatile. A number of
phenomena are involved simultaneously, including:
• The formation and destruction of oxidising ozone and NOx species under irradiation.
• The interaction of these oxidising species with metal and painted surfaces.
• The interaction of the oxidising species with iodine.
• The interaction of iodine with metal and painted surfaces.
Tests carried out in the past have used very high iodine concentrations, and the resulting models are
difficult to extrapolate to real conditions. The results of more recent tests (the PARIS programme
[7.1_9]) are still being analysed, but it is expected that they will further refine understanding of these
phenomena.
Organic iodine CH3I is also broken down under these conditions. The tests carried out showed that the
rate of breakdown is proportional to the dose with the accelerating effect of the temperature being
small.
One important mechanism for reducing the concentration of gaseous iodine within the containment
building is its capture by droplets from the spray system [7.4_2]. The following phenomena are
involved:
• The transfer of iodine in the gaseous phase towards the droplets.
• Transfers at the gas-droplet interface and within the droplets.
• The chemical reactions taking place in the liquid phase.
These chemical reactions are influenced by the pH of the droplets, with the capture being more
efficient if the pH is alkaline, i.e. when the spray system is used in direct mode. The capture of organic
iodine CH3I is relatively inefficient compared with that of inorganic iodine I2.
- 180 -
The RECI tests [7.5_18] carried out by the IRSN have indicated a potential interaction between iodine
and the recombiners. The following phenomena are involved:
• Heating of the metallic iodide aerosols as they pass between the plates in the recombiners.
• Vaporisation and dissociation of the iodides.
• Quenching at the outlet of the recombiners with the formation of gaseous iodine and fine aerosols
by nucleation.
These phenomena are well understood, but require further quantification, especially in relation to the
effects of the chemical kinetics, in order to verify the true impact on the reactors operated by EDF.
7.5.2.4 Chemistry of ruthenium
As indicated in Section 7.1, the release of ruthenium can be significant in the presence of air. This type
of situation can arise during a severe accident in a reactor if there is a break in the reactor pressure
vessel, or during storage pool handling or emptying accidents [7.5_19]. The radiotoxicity of ruthenium
is similar to that of iodine in the short term, and similar to that of caesium in the mid-term [7.5_20],
hence the interest in this element. The chemistry of ruthenium is also complex.
Ruthenium, present in the fuel in metallic form, is released mainly in the form of dioxide vapour in the
presence of air. As it cools down, the dioxide is converted into tetroxide vapour. This is then
thermodynamically deposited by non-congruent condensation as the solid dioxide. This final reaction is
kinetically limiting and some of the ruthenium remains in the tetroxide form, which is gaseous under
the conditions prevailing within the containment building. These phenomena have been demonstrated
during the RUSET tests [7.5_21], [7.5_22], [7.5_23], [7.5_24] carried out by AEKI, and confirmed by the
tests carried out by VTT [7.5_25], [7.5_26] in Finland. During the RUSET tests, measurements were
made of the partial pressures of gaseous ruthenium corresponding to an equilibrium between the
gaseous tetroxide and deposited dioxide at temperatures of around 600 to 700 °C. As an
approximation, this implies that below this temperature the chemistry is frozen and the tetroxide
subsists in a metastable form.
Gaseous ruthenium tetroxide can interact with the walls of the pipework, becoming trapped. These
effects have been studied experimentally by VTT [7.5_25], [7.5_26] in Finland. Deposits of RuO4 were
measured on alumina and steel tubes. The deposits on the alumina tubes were small, but they were
considerable on the steel tubes, except in the presence of steam. The reasons for the effect of the
steam are still not well understood. The conclusion to be drawn from these tests is that a significant
proportion of the ruthenium may be injected into the containment building in gaseous form.
The behaviour of gaseous ruthenium within the containment building is currently the subject of an
experimental study at IRSN Cadarache [7.5_27], [7.5_28] as part of the ‘ruthenium containment’
programme within the source term programme. This study will cover the phenomena of adsorption and
desorption on steel walls and painted surfaces, and the effect of radiation via the radiolysis products
from the air, such as ozone, which could result in the re-volatilisation of the deposited ruthenium or
that dissolved in the water in the sump.
- 181 -
While the initial results are still being analysed, they do indicate that, despite the surface deposits, a
significant fraction of the gaseous ruthenium could subsist in the atmosphere within the containment
building, and that the deposited or dissolved ruthenium may be re-volatilised under the effect of the
radiation. The kinetics of these mechanisms are still to be quantified before models can be developed
to predict the quantity of ruthenium present in a gaseous form within the reactor containment
building.
7.5.3 EXPERIMENTAL PROGRAMMES, MODELLING AND COMPUTER CODES
7.5.3.1 Chemistry in the reactor cooling system
In addition to the problems of gaseous iodine, most of the current work is concentrated on the
interpretation of the results of the PHEBUS-FP and VERCORS HT tests. At the IRSN, this interpretation is
being carried out using the ‘extended database’ version of the SOPHAEROS module of the ASTEC
integral code. The simulated and experimental results are being compared mainly in relation to the
volatility of the fission products. Following corrections to the database, the results so far have been
encouraging, with the exception of those for iodine.
The full thermodynamic simulations from codes such as GEMINI and the results from SOPHAEROS do not
reproduce the results of the PHEBUS tests correctly in relation to the behaviour of iodine. In particular,
they do not predict the fractions of gaseous iodine in the reactor cooling system correctly. The
experimental CHIP programme has been started with the aim of obtaining additional data on the iodine
chemistry in the reactor cooling system from the point of view of both the thermodynamics and the
chemical kinetics. There are two main aspects to this programme:
• The phenomenological aspect will study extended {X1, X2, …., Xn, O, H} systems containing around
ten elements with the aim of obtaining data on the quantity of volatile iodine as a function of the
elements present and the boundary conditions (nature of carrier gas, temperature, transit time,
etc.). These experiments will be carried out at the IRSN in Cadarache.
• The analytical aspect will study restricted { X, I, O, H} systems with the aim of obtaining kinetic
and thermodynamic data for use in the development of models. The experiments will be carried
out by the CNRS in Grenoble in collaboration with the IRSN.
In parallel with the CHIP experiments, detailed kinetic models similar to those described in [7.5_29]
are being developed to interpret the data. These will eventually be used as the basis of simplified
models to be incorporated in the SOPHAEROS module of the ASTEC integral code.
The specific case of ruthenium is being considered in the RUSET experimental programmes being
carried out by AEKI and those being carried out by VTT. The results confirm that some of the ruthenium
is transported into the containment building in the form of metastable gaseous RuO4. A portion of this
gaseous ruthenium is deposited on the steel pipework. The results of these tests are currently being
interpreted and preliminary models are expected to be available by the end of 2006. These models are
intended to be incorporated in the SOPHAEROS module of the ASTEC integral code.
- 182 -
7.5.3.2 Chemistry in the containment building
Most of the current experimental and modelling work is concentrated on the chemistry of iodine and
ruthenium.
The EPICUR programme being carried out by the IRSN is studying the physical and chemical
transformations iodine under irradiation with particular emphasis on the following:
• The formation of organic iodides in the gaseous phase from painted surfaces.
• The radiolysis of iodine in the aqueous phase.
• The radiolysis of iodine in the gaseous phase.
This programme began in 2005 and is scheduled to last three years. At the IRSN, the results are being
interpreted using the IODE module in the ASTEC integral code. One expected result is an improvement
to the models of the conversion of inorganic to organic iodine by the paint.
The PARIS experimental programme being carried out by Framatome-ANP on behalf of the IRSN is now
completed and the results are currently being interpreted. The interpretation is using partly the
mechanistic IODAIR module developed at IRSN. The improved simplified models will be incorporated in
the IODE module of the ASTEC integral code.
The participation of PSI in the international Source Term programme will result in an extension of the
experimental database available for use in the validation of the models. Their contribution will include
the provision of hitherto unpublished results on the effects of impurities in the water in the sump on
the volatility of the iodine. AECL are also expected to take part in the Source Term programme,
although their precise contribution is not yet defined.
At the same time, the interpretation of the results of the PHEBUS-FPT-2 and FPT-3 tests is continuing,
with the participation of a number of foreign partners. The FPT-3 test is the subject of particular
attention. Initial analysis of the experimental results appears to show that the concentration of
gaseous iodine declines rapidly from a high initial value, with considerable trapping by painted
surfaces.
The current IRSN experimental programme on ruthenium will be completed in 2006. The main topics
studied include:
• The adsorption and desorption of gaseous ruthenium on metal and painted surfaces.
• The re-volatilisation of the ruthenium deposited on the surfaces under irradiation and the action of
ozone.
• The re-volatilisation of the ruthenium trapped in the liquid phase under irradiation and the action
of ozone.
The interpretation of the results of these tests has begun. This process may reveal the need for
additional tests.
- 183 -
7.5.4 SUMMARY AND OUTLOOK
Chemistry of fission products in the reactor cooling system
The PHEBUS-FP integral tests have called into question a number of paradigms relating to the
chemistry of the fission products in the reactor cooling system, in particular caesium and iodine.
Recent studies have also showed that the case of ruthenium needs to be re-examined.
The caesium is not necessarily transported in the form of the hydroxide CsOH as was previously
assumed. It may exist in the form of the less volatile molybdate. Recent models take account of this
fact. The re-volatilisation of deposits in the reactor cooling system has also been observed which may
result in a delayed release into the containment building.
The case of iodine is more complex. It is not always transported in the form of caesium iodide. The
PHEBUS-FP tests have shown that at least two other non-gaseous species may be present depending on
the conditions (temperature and oxygen potential). A fraction of the iodine is also transported in
gaseous form. The results of the first PHEBUS-FP tests and the results of specific studies using all the
available experimental data indicated a value for this gaseous iodine fraction of 5 %. This value was
used in the source term re-evaluation studies carried out by EDF and the IRSN. In the latest PHEBUS-FP
test (FPT-3), this fraction exceeded 80 %. It should however be noted that the concentration of gaseous
iodine in the vessel simulating the containment building fell rapidly during this test due to significant
trapping by the painted surfaces. The interpretation of the behaviour of iodine from the results of this
test has only just begun, and it will be necessary to await the results of this process before the
consequences in terms of potential radioactive releases into the environment can be evaluated.
Considerable work has been undertaken with the aim of understanding the behaviour of the iodine.
Critical reviews of the thermodynamic data available for the various species have been carried out
resulting in successful simulations of the chemical speciation. However, these simulations do not
currently reproduce all the observed effects correctly. There is a strong suspicion that the errors
observed are due to phenomena associated with the chemical kinetics (incomplete reactions) that were
not taken into account in current simulations performed at thermodynamic equilibrium. The
experimental CHIP programme being carried out as part of the international Source Tem programme
should identify the chemical reactions concerned and should enable the kinetic data needed to model
them to be determined. Validated physical models describing the behaviour of iodine in the reactor
cooling system are expected to be available by 2010.
Experiments performed in Hungary and Finland have shown that, in the presence of air, ruthenium may
be transported into the containment building in the form of metastable gaseous RuO4 with a certain
fraction being retained by interactions taking place with the pipework. The results of these tests are
currently being analysed. Validated models are expected to be available by 2008.
In general, there is little experimental data available regarding the re-volatilisation of deposited fission
products. Addition experiments carried out within the CHIP facility may result in further data becoming
available.
- 184 -
Chemistry of the fission products in the containment building
The two fission products whose chemistry in the containment building may have a significant impact on
radioactive releases are iodine and ruthenium. This is due to the fact that they can both exist in
gaseous form under the conditions prevailing within the containment building.
Iodine
The importance of iodine has been known for a long time and many experimental and theoretical
studies have been carried out. These studies have investigated the chemistry of iodine in both the
liquid and gaseous phases, its interactions with surfaces, and the effects of radiation on the various
processes. Experiments have been performed at the laboratory scale, at intermediate levels, and in the
PHEBUS-FP integral tests. The models available to describe this chemistry are either mechanistic,
covering several hundred reactions, or simplified models covering a more restricted range of reactions.
The simplified models are more generally used in the integral simulation codes.
Despite this work, a number of uncertainties remain that have a significant impact on the levels of
radioactive releases. This has been demonstrated in the recent OECD International Standard Problems
(ISP) ISP-41 and ISP-46. This is especially the case in relation to the formation of organic iodides in the
gaseous phase. The results of the experimental EPICUR programme being carried out as part of the
international Source Term programme are expected to provide new data in this field, and in relation to
some aspects of radiolysis in the liquid and gaseous phases. This data, together with that from the
recently completed PARIS programme, should lead to the availability of improved and validated models
by 2010.
The impact of spray on gaseous iodine, partially capturing the iodine in the droplets, has been
quantified and validated models are now available.
The recent demonstration of interactions between iodine aerosols and the recombiners capable of
producing gaseous iodine has led to a requirement for additional experimental work to quantify the
impact of this phenomenon on the concentration of gaseous iodine in the containment building. This
topic is currently being studied within SARNET.
Ruthenium
The demonstration of the possibility that some of the ruthenium could be present in gaseous form
within the containment building has raised questions relating to the ultimate fate of this element
within the building. Recent experimental work has investigated the adsorption and desorption of
gaseous ruthenium on the surfaces, together with the re-volatilisation of the ruthenium deposited or
trapped in the liquid phase under irradiation. The results obtained show that ruthenium is likely to
persist in gaseous form within the containment building. The next stage will be to quantify the kinetics
of the various phenomena in order to be in a position to evaluate the concentration of gaseous
ruthenium within the containment building during an accident.
- 185 -
TABLES IN CHAPTER 7
Table 7.1-1: Changes in the activities of fission products and actinides in a 900 MWe(1) PWR following
shut-down ................................................................................................................153
- 186 -
FIGURES IN CHAPTER 7
Figure 7.1-1: Illustration of the four fission product volatility classes following a VERCORS test .......157
Figure 7.1-2: The VERCORS HT loop.................................................................................159
Figure 7.2-1: Aerosol transport phenomena .......................................................................163
Figure 7.5-1: The main phenomena in the liquid phase .........................................................178
- 187 -
REFERENCES IN CHAPTER 7
[7.1_1] H. Kleykamp, "The chemical state of the fission products in oxide fuels", Journal of Nuclear Materials 131 (1985) 221-246.
[7.1_2] Y. Pontillon et al. "Lessons learnt from VERCORS tests. Study of the active role played by UO2-ZrO2-PF interactions on irradiated fuel collapse temperature", Journal of Nuclear Materials 344 (2005) 265-273.
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CHAPTER 8 : SEVERE ACCIDENT CODES – CURRENT
DEVELOPMENT AND VALIDATION STATUS
The numerical simulation of severe accidents general adopts a two-tier approach:
• integral codes or code systems that simulate the entire accident rapidly, from the initiating event
to the possible release of radionuclides outside the containment and taking into account the main
safety systems,
• detailed or mechanistic codes that provide a finer simulation of the phenomena involved a finer
simulation of single phenomenon or group of phenomena (core degradation or hydrogen risk in the
containment).
The three integral codes discussed in this chapter share a number of common features: they handle
phenomena exhaustively (steam explosion and containment mechanical strength are the only points not
dealt with), they process coupled phenomena (simplified to varying degrees), they have a modular
design (but to varying degrees) and they process accident scenarios at a high computing speed (from 1
to 10 hours per accident day). They are used for reactor safety studies, in particular for source term
assessment, Level 2 PSAs and studies carried out to support accident management (prevention and
mitigation).
The process of validating these codes by comparison with experimental results (Table 8.1-1 illustrates
the main international programmes used by the three codes) is identical:
• the codes are qualified through "separate-effect" or "coupled-effects" analytical tests, concerning
one or more physical phenomena or component response,
• they are then verified on the basis of integral experiments, frequently performed on large-scale
facilities to check that phenomena are correctly coupled and that none of them has been
overlooked.
8.1 ASTEC
The ASTEC (for Accident Source Term Evaluation Code) integral code is developed jointly by the IRSN
and its German counterpart, the GRS [8.1_1]. It plays a leading role in SARNET, the European FP66
network of excellence, as it gradually integrates in the form of models all the knowledge generated by
the network and because the partners carry out a considerable amount of work on validation and
reactor applications [8.1_2]. One of the goals of SARNET is to see ASTEC become the European
reference code.
6 Technological Research and Development Framework Programme
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8.1.1 CURRENT CAPABILITIES OF THE CODE
The ASTEC code simulates all stages of the accident for situations where the reactor is in operation and
takes into consideration the main safety systems (controlled blowdown of reactor cooling primary and
secondary systems, accumulators, safety injection, recombiners, containment spraying and
venting/filtering, etc.). It is also used for preparation and interpretation of experimental programmes.
Figure 8.1-1 illustrates the different modules making up the code and shows how inter-module coupling
is managed.
Isotope treatment & Activity
ASTEC V1 CONSTITUTIVE M ODULES
COUPLED mode for explicit feedbacks
STAND-ALONE m ode for modulevalidation
SYSINT
Safety systemmanagement
RUPUICUV
Corium e jection &Entrainment in cont.
SOPHAEROS
Aerosol & FP vapourbehaviour in RCS
MEDIC ISCorium/Concrete
Interaction
ISODOP
CESARThermal. in RCS
ELSA
DIVACore degradation
FP release
CPAThermalhydraulics &
Aerosol behaviourIn containment
IODEIodine in
conta inment
Core degradation
DIVA
δt
δt
δt
δt
δt
δt
DATABASERUPUICUV
DIVA
ELSA
MEDIC IS
CPA
ISODOP
SYSINT
SOPHAEROS
IODE
∆ t
CESAR
δ t
∆t
CORIUM
Corium behavior in conta inment
Isotope treatment & activity
Figure 8.1-1: ASTEC V1 Structural Diagram
The latest version, V1.2 rev1, was released for use by 28 European and 6 Russian and Asian partners at
the end of 2005. It applies to PWR 900 and 1300 MWe and VVER7-440 and 1000 units. It adopts a five-
equation numerical approach for the reactor cooling system (RCS) thermal-hydraulics and a "zone-
based" 0D approach for molten corium-concrete interaction and containment thermal-hydraulics. Using
a PC or workstation (SUN, DEC. etc.), it takes a few hours to simulate one day of an accident.
Almost all the models used are at the state-of-the-art, especially as far as fission product behaviour is
concerned, where all the lessons learnt from the PHEBUS-FP experimental programme and years of
analytical testing around the world have been taken into account.
The main limit of this latest version is to do with core degradation, which is dealt with using 1D corium
flow models along the fuel rods. This means that no consideration is given to the radial movement of
7 Russian-designed PWR – literally translated as water-water energetic reactor
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corium within the core or on the lower core plates and, therefore, its relocation at the lower head
after passing through the core shroud (behaviour observed during TMI-2 accident). Preliminary
comparison with the more advanced 2D flow models used in the IRSN's ICARE2 mechanistic code has
revealed the impact of this 1D modelling on corium flow kinetics into the vessel lower plenum and on
in-vessel hydrogen production. The masses of corium found in the lower plenum at the time of failure,
however, do not seem to vary significantly with the type of model used. This shortcoming will be
rectified in ASTEC versions to be released as of 2008.
The main developments or improvements in the latest models based on data from the experiments
mentioned in brackets are as follows:
• core degradation: improved processing of corium heat transfer in the lower head (BALI at the CEA),
new model added to simulate the fragmentation of corium as it falls into the water remaining in
the lower head (FARO at the JRC), new model covering lower head mechanical strength (LHF and
OLHF at the SNL),
• FP release: improvements in modelling the release of semi-volatile species (such as Ba and Mo),
structural materials (Fe, Zr) and control rod Ag-In-Cd (VERCORS at the CEA, PHEBUS-FP at the
IRSN),
• FP transport in the system: deposits in various coolant flows (parallel channels in the core, RCS
intact loops, reverse flows, etc.), model added to cover FP nucleation at their arrival into the
containment, thermo-chemistry databank for FP chemistry in gas phase checked against
international references,
• MCCI: evolution of corium pool configurations (homogeneous, stratified, inversion of layers),
corium cooling by water injection (in particular, quench front progress through the crust) (OECD-
CCI, BETA, ACE),
• hydrogen combustion in containment: model added to cover turbulent deflagration conditions,
• behaviour of iodine in the containment: metal iodide dissociation in recombiners (RECI at the IRSN)
and formation/destruction of radiolysis products in the air (PARIS at Framatome-Erlangen).
At present, ASTEC is used intensively at the IRSN as part of Level 2 PSA studies on a French 900 MWe
PWR and sensitivity studies are carried out as part of a source-term review. This work involves the
analysis of a considerable number of scenarios proposing different initiating events and the
implementation of safety systems. The main areas of uncertainty concern high-pressure sequences, in
particular the risks associated with induced breaks in steam generator tubes (leading to a possible
containment bypass) and DCH, and sequences involving water injection on a damaged core. The
problem in the last mentioned sequences is to determine whether core failure can be avoided
depending on core state at the time of injection and on injection flow rate (the IRSN uses the
ICARE/CATHARE mechanistic code to back up modelling work on these sequences).
Within the SARNET context, ASTEC is used by twenty or so European partners to calculate various
sequences on PWR 900, Konvoi 1300, Westinghouse 1000, VVER-440 and VVER-1000 reactors.
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8.1.2 VALIDATION STATUS
For more than ten years, intensive validation work has been carried out on the codes from which ASTEC
was developed (ESCADRE, RALOC and FIPLOC), leading to a solid reference base. The basic validation
matrix, composed of some thirty tests from Table 8.1-1, is applied whenever a significant version is
delivered, to cover the main phenomena involved in severe accidents and to identify more clearly
uncertainties in the models. For each module, validation is complemented by less frequent, but
extensive, campaigns focusing on all available tests (in 2005, for example, about forty tests were
performed on the subject of FP release). Validation work is also carried out by partners, within the
SARNET context, on reference experiments such as inter-code comparison exercises selected by the
OECD (ISP) and on tests dedicated to VVER plants. Examples of this work include BETHSY 9.1b (ISP27)
and PACTEL (ISP33) for RCS thermal-hydraulics, KAEVER (ISP44) for aerosol behaviour in the
containment and PHEBUS-FPT1 (ISP46) for the comprehensive overall study of an accident.
Taken together, V1 versions have undergone a total of more than 120 tests. On the whole, the results
of this validation work have been satisfactory and show that the code reflects the state of the art in
terms of understanding and modelling. Figure 8.1-2 and Figure 8.1-3 respectively show the example of
the qualification of the CESAR module on the BETHSY 9.1b thermal-hydraulic test (CEA), which
reproduces the scenario of a 2" break in the RCS cold leg without high-pressure safety injection, and
the qualification of the IODE module on the CAIMAN 97/02 test (CEA), which simulates the production
of molecular and organic iodine in the gaseous phase in the containment.
Improvements are expected in fields where new experimental programmes have been launched to
increase knowledge and reduce uncertainties. These include: iodine chemistry in the RCS (CHIP at the
IRSN); heat flux spatial distribution in the corium pool during MCCI (ARTEMIS and VULCANO at the CEA,
OECD-CCI); iodine chemistry in the containment (EPICUR at the IRSN); FP retention on the secondary
side of steam generators (ARTIST at the PSI); DCH (DISCO at the FZK); effect of high fuel burnup and of
MOX fuel on core degradation and fission product release (VERCORS then VERDON at the CEA).
Whatever the code used, modelling the reflooding of intact and damaged cores is always a complex
task, as demonstrated by applications to the QUENCH and CORA tests at the FZK.
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Table 8.1-1 - Illustration of the main experimental programmes used for code qualification
Physical process Programme name Organisation (country)
Integral tests TMI-2 accident -
LOFT-LP- FP2 INEL (USA)
PHEBUS-FP IRSN (France)
Core degradation CORA (7,12,13….) FZK (Germany)
QUENCH (01,04,06/ISP45, 07….) FZK (Germany)
Fission product release ORNL (VI-2 to VI-7) ORNL (Canada)
VERCORS (1 to 6) CEA (France)
Aerosol transport in the reactor cooling system
FALCON AEAT (GB)
VERCORS (HT1 to HT3) CEA (France)
LACE INEL (USA)
Vessel mechanical failure LHF-OLHF SNL (USA)
Heat transfer in corium molten pools COPO VTT (Finland)
UCLA UCLA (USA)
BALI CEA (France)
Fragmentation of corium in water FARO (L06,L08,L11,L14…) JRC Ispra
Corium entrainment during DCH ANL (U1B…) ANL (USA)
Surtsey (IET-1, IET-8B…) SNL (USA)
DISCO (C, H) FZK (Germany)
Molten Corium-Concrete Interaction BETA (v5.1,v5.2,v6.1…) FZK (Germany)
SWISS SNL (USA)
OECD-CCI (1, 2…) ANL (USA)
ACE (L2, L5…) ANL (USA)
Iodine chemistry in containment ACE/RTF AECL (Canada)
CAIMAN CEA (France)
Containment thermal-hydraulics NUPEC (M4.3, M7.1….) NUPEC (Japan)
VANAM-M3 (ISP 37...) Battelle (Germany)
TOSQAN (ISP-47…) IRSN (France)
MISTRA (ISP-47…) CEA (France)
Hydrogen combustion in the containment
HDR (E12.3.2…) Battelle (Germany)
RUT RRC-KI (Russia)
- 195 -
Figure 8.1-2 - ASTEC qualification on the BETHSY 9.1b test: pressure trends in the reactor cooling primary and secondary systems
Figure 8.1-3 - ASTEC qualification on the CAIMAN 97/02 test: iodine trend in the gaseous phase in the containment
In addition to comparison to experimental results, the ability of the code to compute all accidents
liable to occur in the reactors must be demonstrated. To this end, the code is applied to the main
scenario families (breaks in the reactor cooling primary and secondary systems, loss of power supply,
etc.), introducing variants to take into account the activation of safety systems, for example. This
method can demonstrate that the trends based on results are physically credible. Benchmarks are then
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made using other codes: within the SARNET context, the above-mentioned sequences are being
compared using the MELCOR and MAAP4 integral codes and detailed codes such as ICARE/CATHARE and
CONTAIN, for example. These benchmarks serve to identify the models responsible for any
discrepancies observed from one code to another, thereby helping to measure the uncertainty
remaining in the assessment of certain physical phenomena.
8.1.3 CODE UPGRADE PROSPECTS
In the short term, ASTEC will be used intensively as part of the IRSN's Level 2 PSA work on the P4-series
plants, which began in 2006. The development version is currently being tested on large-break and
SGTR scenarios which had not been considered for the earlier versions.
The main model developments to be integrated in the next versions (V1.3 delivered in 2006 and V1.4 in
2007) result from the interpretation of the experimental programmes mentioned above. At the same
time, it is planned to adapt existing models to simulate ex-vessel core catchers in a reactor like the
EPR. The CEA and the IRSN also plan to work together closely to model in-vessel corium retention by
external cooling of the vessel lower head.
The specifications of the future "V2" versions of ASTEC will integrate requirements expressed at the
end of 2005 by the SARNET partners with regard to models, documentation and user support. The core
degradation models of the IRSN's mechanistic code, ICARE2, are now being integrated into ASTEC. This
will produce two types of model: fast simplified models for integral application and detailed models
(2D corium movement in the core and through the vessel internals, corium behaviour in the lower
head) for zooms on in-vessel phenomena. The first version, V2.0, to be released in 2008 should also be
applicable to the EPR and to the reflooding of degraded cores, and include a complete modelling of
ruthenium radiochemistry.
Other developments are scheduled in the following versions to model air and gas ingress resulting from
MCCI in the vessel following failure, shutdown states and comprehensive coverage of iodine chemistry
in the RCS (feedback from the CHIP programme, possibly taking chemical kinetics into account). At the
same time, work will be in progress to adapt models to BWRs8 (with partners KTH in Sweden and IKE in
Germany as well as support from the PSI in Switzerland) and CANDU reactors (with partners INR in
Romania, AECL in Canada and BARC in India) and to increase the code's computing speed for possible
use in severe accident simulators.
8 Boiling Water Reactors
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8.2 MAAP
Development work on the MAAP computer code began in the USA in the early 80s. The code was
intended a) to meet the requirements of physical studies in support of PSAs and b) to contribute to the
IDCOR (Industry Degraded Core Rulemaking) research programme, which involved some sixty American
industrialists.
When the IDCOR programme came to an end, EPRI became owner of the MAAP code, although
development work was still carried out by Fauske&Associates, Inc (FAI).
Many nuclear operators have acquired a MAAP licence and use the code in their safety studies. They
have formed a users' group (known as the "MAAP Users Group") representing more than 40
organisations.
EDF uses MAAP for severe accident studies, including Level 2 PSA, hydrogen recombiner system design,
reassessing the source term for severe accidents, SAMG support studies, as well as studies of the DCH
risk and slow pressurisation in the containment building.
Since it acquired the code in 1991, EDF has developed its own skills in MAAP development and
validation, complementing FAI activities. EDF began to take this development approach a step further
in 1996 by making its own MAAP versions integrating specific contributions. The version of MAAP
currently in use at EDF is 4.04d, EDF's 4th version of the MAAP 4.04 code.
8.2.1 CURRENT CAPABILITIES OF THE CODE
The MAAP computer code is used to process PWR or BWR operation under accident conditions (specific
versions are also available for CANDU and VVER reactors). It focuses particularly on core meltdown
sequences, whatever the initial status of the installation (reactor at power or shut down).
MAAP is a modular scenario code, representing the reactor cooling primary system, the secondary
system, the engineered safeguard systems, and the containment and auxiliary buildings.
Functional modelling is particularly well adapted for examining the impact of operator action on the
sequences.
One of the code's advantages is its fast computing time. It only takes about 2 hours CPU (with a PC in a
Linux environment) to simulate 24 h in real time of a sequence involving core degradation.
As the reactor cooling circuit and containment building are coupled, the thermal-hydraulic conditions
in the reactor building are dependent on thermal-hydraulic changes in the RCS and boundary conditions
at break. This coupling can be used, for example, to take into account automatic actions taken on the
RCS when a pressure threshold is reached in the containment building. It also takes into account
containment building feedback effects on the RCS (e.g. simulation of shutdown states with the RCS
open).
Fission product transport (emission during core degradation, migration in the RCS and containment
building, chemistry) can be modelled to determine release to the environment or surface and volume
contamination in the buildings.
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MAAP is a nodal code. It solves mass and internal energy conservation equations for each control
volume. Momentum conservation equations are not differential equations and can be considered as
Bernoulli equations.
The RCS is represented by 14 volumes, excluding the pressuriser. The containment building can be
represented by 30 volumes at the most (note that the nodalisation system adopted for EDF reactors
comprises 12 to 14 volumes). The core is modelled axisymmetrically with 175 mesh cells.
Figure 8.2-1 gives an illustrated example of core degradation as represented by MAAP.
Figure 8.2-1: Comparison between the MAAP4 modelling of various flows during core degradation and a schematic illustration of an actual flow
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A new version of MAAP, MAAP4.05a, will be commissioned during the second half of 2006. Developed by
EDF R&D, it is based on the EPRI standard 4.05 version. The latest improvements of the code include:
• consideration of boron carbide thermochemistry (degradation, oxidation and B4C melt): integration
of three separate models, based on the oxidation laws taken from the MELCOR and ICARE codes,
together with separate-effect experiments carried out at FZK (BOX RIG),
• addition of a U-Zr-O oxidation model (qualified during QUENCH test No. 07),
• refinement of the axial mesh of the reactor pressure vessel lower head,
• improved release model for U, Pu and Te (VERCORS tests),
• improved silver-indium-cadmium release model qualified on PHEBUS-FPT1,
• corium entrainment out of the reactor pit, following several possible pathways in the containment
qualified on Lacomera1-DISCO-H (in the event of a high-pressure ejection accident in the reactor
vessel),
• model of the EPR heavy reflector.
8.2.2 VALIDATION STATUS
In practice, the physical validation of the MAAP code is a continuous process fuelled by new test
simulations. Thus, EDF regularly enhances the MAAP qualification base, in particular through its
participation in the "International Standard Problems" (ISP) and European projects (COLOSS, ENTHALPY,
SARNET).
In addition to checking code performance, validation tests are used to:
• provide the user with recommended variation ranges or default values for various model
parameters or to fix a particular set of correlations,
• identify ways of improving the various code models.
In addition to the many tests performed by FAI, further tests have been carried out by EDF since it
acquired the code. These have focused particularly on core degradation, hydrogen production,
containment thermal-hydraulics and iodine chemistry. In all, MAAP4.04 code qualification chart covers
Table 8.1-1.
Validation studies have been carried out on reactor coolant system thermal-hydraulics. Results have
been compared with data from experimental tests or with the results of computer codes more
specifically dedicated to RCS thermal-hydraulics, such as RELAP or RETRAN. This comparison was based
on multiple sequences (RCS breaks, loss of power, SGTR, etc.).
A series of experimental tests (Westinghouse loop) on natural convection modes was used to validate
models adopted to represent these phenomena.
The models used to simulate containment thermal-hydraulics were validated on the basis of "bench
mode" calculations on the isolated containment building. These calculations simulated HDR and
VANAM-M3 experimental tests (concerning the hydrogen risk and aerosol behaviour respectively) as
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well as the NUPEC M-4-3 and M-7-1 tests for the mixture and distribution of hydrogen in the
containment.
The CORA and QUENCH tests provide information on fuel assembly degradation, corium relocation and
hydrogen production, with a particular focus on the reflooding situation in the case of the QUENCH
tests. The MAAP qualification calculations of these models are performed in "bench" mode, with MAAP
representation confined to the reactor core.
It is important to remember that qualification work does not only consist in applying the code to
analytical separate-effect or semi-integral tests. One of its key aims is to validate the code on
available integral tests (PHEBUS, LOFT) and the TMI-2 accident. This ensures that code performance is
properly verified and that all the predominant phenomena are taken into account.
8.2.3 CODE UPGRADE PROSPECTS
MAAP5 will introduce the main future improvements expected. Managed by the FAI, the historical
developer of the code, MAAP5, which will be rolled out at EDF around 2008, represents a major step
forward. The following list includes only some of these improvements, since the final technical content
of the first version of MAAP5, is not yet known.
• RCS thermal-hydraulics: processing in this area will be far more detailed than at present (nodal
approach in single- and two-phase modes, decorrelated management of the reactor coolant loops
including, in particular, realistic positioning of the safety injection on each loop, vortex in RHR
system, improved modelling of natural circulation, particularly between downcomer, core and
upper plenum, improved modelling of the formation of loop seals and their impact on natural
circulation flows),
• core degradation model: improved numerical methods, 1D neutron and point-kinetics models,
specification of coolant activity,
• model of critical dryout flux on the outer surface of the reactor vessel, when the vessel is
externally flooded, combined with a calculation of the heat flux through the wall. The model may
integrate insulation and a vessel-insulation gap,
• modelling of corium catchers, such as the one used in the EPR,
• integration of a new containment model, including several options for calculating heat transfers
and improved modelling of energy sinks.
These improvements are now financed by some ten organisations that already hold a MAAP4 licence.
Such commitments offer a clear view of the long-term future of this code for use in severe accident
studies by EDF.
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8.3 MELCOR
8.3.1 CURRENT CAPABILITIES OF THE CODE
MELCOR is a fully integrated code developed by Sandia National Laboratories (USA) since 1982. It is
used to analyse all aspects of accidents liable to occur in a light water reactor (PWR, BWR). It handles
coherently a broad range of phenomena involved in severe accidents, such as core degradation, fission
product release and transport, ex-vessel corium behaviour and FP and aerosol behaviour in the
containment building. Initially specialised in PSA work, applications now cover a wider scope: managing
accidents and mitigating their effects, operator training and preparing and analysing experimental
programs to improve knowledge.
The code has a modular structure. The thermal-hydraulics module is one of its linchpins, as it is closely
linked to all the other modules: the "control volume" approach is used to model the entire reactor,
with two regions in each volume, a sump (single liquid phase or boiling sump) and an atmosphere that
may contain a water fog. The zones are connected by junctions where the fluid momentum equation is
processed in a simplified 1D mode.
Originally, most models were relatively simple and parametric, derived from empirical correlations,
with coarse spatial discretisation for quick calculation. Recently, however, the trend has been to
favour mechanistic models and fine discretisation. For this reason, most of today's MELCOR models are
mechanistic. The use of parametric models is limited to areas where phenomenological uncertainty
remains high. Models that are more physical must be used for accident management. This means
reducing uncertainties and a more detailed representation of physical phenomena. These objectives
are now accessible, thanks to greater computing power and a better understanding of phenomena.
The latest version, released in October 2005, is MELCIOR 1.8.6, which features the following main
improvements:
• the formation of molten corium pools in the core is modelled now, which was not the case in the
previous version. The models used describe the progress of these pools in the RPV lower head:
crust formation, convection, stratification into metal and oxide layers due to the density effect (no
representation of inversion effects revealed in MASCA) and partitioning of fission products between
these two layers (using simplified models or functions input by the user),
• the descriptions of in-vessel structures – shells, plates and lower head – are extensive and
integrated within the same module to allow consistent processing of all in-vessel phenomena. The
core shroud structure and in-vessel bypass can now be modelled. This will make possible to obtain
realistic assessments of RPV lower head failure, addressing problems relating to the focussing
effect and in-vessel corium retention by ex-vessel cooling,
• the intact fuel rod reflooding model has been improved (the quench front and water level are now
monitored). The existing oxidation model, based on the Urbanic-Heidrick correlation, has proven
satisfactory for most accident situations but, like other codes, cannot calculate the "runaway"
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effect observed in certain QUENCH tests when the relocating corium is exposed to a high water
flow rate,
• silver (Ag-In-Cd) release and B4C oxidation observed during control rod degradation are now
modelled. Modelling B4C oxidation in the gas phase should, theoretically, determine the conditions
governing organic iodine formation in the system. To achieve this, however, the use of gas
chemistry models would have to be extended to cover containment phenomena,
• flashing in superheated flows of water entering the containment at low pressure has now been
modelled.
The conclusions and development plans regarding the iodine chemistry model, based on the INSPECT
model, remain unclear.
A number of improvements have recently been made to the interactive user interface including, in
particular, the MELSIM simulator for managing data sets, calculations and results display. A tool has
also been released for automatically initiating a series of sensitivity studies for uncertainty analysis.
Many models feature optional user-adjustable parameters to simplify these studies.
MELCOR has been used to simulate accident sequences in many types of reactor including PWRs, BWRs,
VVERs and RBMKs.
8.3.2 VALIDATION STATUS
MELCOR qualification work is based mostly on internationally available tests (including ISP) mentioned
in Table 8.1-1 . In addition to the TMI-2 accident, the following can be mentioned (see Figure 8.3-1,
Figure 8.3-2 and Figure 8.3-3):
• for the early in-vessel phase: VERCORS and VERCORS-RT (CEA) for FP release; PHEBUS-FP (IRSN) for
silver release, B4C behaviour and FP release in the system; QUENCH (FZK) for reflooding,
• for the late in-vessel phase: RASPLAV and MASCA (RRC-KI, Russia) for molten pools, OECD LHF-OLHF
(SNL, USA) for reactor vessel mechanical strength,
• for systems and the containment: ACE and MACE (ANL, USA) for water injection under MCCI
conditions, ARTIST (PSI, Switzerland) for FP retention in steam generators.
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Figure 8.3-1: MELCOR development and qualification work in the early in-vessel phase
Figure 8.3-2: MELCOR development and qualification work in the advanced in-vessel phase (1)
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Figure 8.3-3: MELCOR development and qualification work in the advanced in-vessel phase (2)
According to the presentations at the CSARP in September 2005 [8.3_1], [8.3_2] and [8.3_3], and
excluding TMI-2 applications, the latest qualification work concerned the following tests: LHF (using
the 1D model, reasonable assessment of vessel failure time and maximum displacement with a peaked
heat flux distribution, but underestimation with a uniform distribution), RASPLAV, QUENCH-07 (B4C
rod) and QUENCH-06 (ISP46), together with PANDA on BWR containment behaviour.
As for the previous codes, this validation work is completed by a consistency check on the results of
reactor accident simulation and by participation in benchmark work.
8.3.3 CODE UPGRADE PROSPECTS
Current work concerns:
• advanced BWR or CANDU reactors (including adaptation of core degradation models with specific
geometry),
• high-burnup fuel,
• HTRs, including the development of graphite oxidation and FP release models,
• generation IV reactors, including a generalisation of processed coolants (sodium, molten salt, etc.).
Furthermore, the project to modernise the code (led by IBRAE, Russia) by switching to the Fortran 95
programming language and reworking the data sets, will be completed in 2006.
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TABLES IN CHAPTER 8
Table 8.1-1 - Illustration of the main experimental programmes used for code qualification.........194
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FIGURES IN CHAPTER 8
Figure 8.1-1: ASTEC V1 Structural Diagram ........................................................................191
Figure 8.1-2 - ASTEC qualification on the BETHSY 9.1b test: pressure trends in the reactor coolant
and secondary systems ................................................................................................195
Figure 8.1-3 - ASTEC qualification on the CAIMAN 97/02 test: iodine trend in the gaseous
phase in the containment .............................................................................................195
Figure 8.2-1: Comparison between the MAAP4 modelling of various flows during core degradation and a
schematic illustration of an actual flow............................................................................198
Figure 8.3-1: MELCOR development and qualification work in the early in-vessel phase .................203
Figure 8.3-2: MELCOR development and qualification work in the advanced in-vessel phase (1) .......203
Figure 8.3-3: MELCOR development and qualification work in the advanced in-vessel phase (2) .......204
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REFERENCES IN CHAPTER 8
[8.1_1] "Development and assessment of ASTEC code for severe accident simulation", NURETH-11 International Topical Meeting on Nuclear Reactor Thermal Hydraulics, Avignon, 2-6 October 2005, J.P. Van Dorsselaere, S.Pignet, C.Seropian, T.Montanelli, P.Giordano, F.Jacq (IRSN), B. Schwinges (GRS).
[8.1_2] "ASTEC and SARNET – Integrating severe accident research in Europe", ICAPP’05, Séoul (Corée), 15-19 May 2005, J.P. Van Dorsselaere, J.C. Micaelli (IRSN), H.J. Allelein (GRS).
[8.3_1] "Overview of MELCOR development, assessment and applications activities", CSARP-05, Cooperative Severe Accident Research Meeting, Albuquerque (USA), 22-23 September 2005, R.Gauntt (SNL).
[8.3_2] "MELCOR 1.8.6 verification", CSARP-05, Albuquerque (USA), 22-23 September 2005, V.Nosatov (IBRAE).
[8.3_3] "Post-test analysis of ISP-42 (PANDA tests) using the MELCOR code", CSARP-05, Albuquerque (USA), 22-23 September 2005, J.Tills (SNL).
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CHAPTER 9 : CONCLUSION
This document presents an overview of the current status of research related to studies of severe
accidents. These studies were conducted in France and other countries by various players in the
nuclear world, including industrial companies, research centres and safety organisations.
Looking at possible accident scenarios involving reactor core meltdown in PWRs, it first describes the
main accident families in Level 1 PSA liable to induce core meltdown. The various physical phenomena
which might occur in the reactor pressure vessel and in the containment building in the event of a
severe accident are then presented in general terms.
The rest of the document presents the current understanding of these physical phenomena, how they
follow on from each other and how their impact can be mitigated. A brief description of the main
experiments – recently performed, underway or planned for the future – concerning these topics is then
given, together with the main models and specific codes used to simulate the phenomena. Lastly,
short-term prospects are analysed, with particular regard to experimental programmes and the
development of models and simulation tools proposed by the severe accident community in the nuclear
field on each of the themes discussed.
The overall results of this assessment work are presented below. It should be noted that the document
raises the issue of a number of R&D needs, both in the body of the report and in this general
conclusion. In this respect, it is important to point out that while the document helps to identify and
prioritise these requirements, the suggested priorities should be confirmed in light of the safety
analysis needs associated with the various risks and physical phenomena, drawing in particular on Level
2 PSA work. It should also be mentioned that, apart from the few exceptions given, a relative
consensus has been reached on most of the needs mentioned here, at least in France (IRSN, CEA, EDF),
and that if the CEA and IRSN have chosen to discuss them in this joint document, it definitely does not
mean that these two organisations are committed to meet them.
In-vessel accident scenario
Although the initial stages of reactor core degradation (fuel rod oxidation and cladding failure) are now
relatively well understood and modelled, many uncertainties remain regarding the phenomena
characterising the later stages of degradation and the behaviour of corium in the lower head of the
reactor pressure vessel (RPV). Since no new experimental programmes on core degradation are
scheduled, remaining areas of uncertainty can only be reduced through further analysis of past tests
and more modelling work. The current trend is to consider that some uncertainty should be tolerated
here and that further progress should be based on sensitivity studies. On the other hand, some
experimental programmes relating to the behaviour of corium in the RPV lower head are planned,
focusing in particular on the interactions between a molten pool and the steel from which the RPV is
made (INVECOR). If the CORTRAN programme is carried out, it should provide insight on the transition
from a debris bed to a molten pool configuration. Depending on the knowledge gained from this work,
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sufficiently accurate models should become available, although this does not rule out the possibility of
other requirements being identified for further experimental studies.
The moment at which lower head vessel failure occurs and the zone in which the break is initiated can
be adequately determined for a given thermal load using the mechanical models developed as part of
the LHF and OHLF programmes. However, there is no model available yet for predicting the crack
propagation at high temperature and thus the final size of the breach. An experimental programme
(IRSN/CEA/INSA in Lyon) to determine the impact of steel properties on the crack propagation in the
lower head is currently nearing completion and should lead to the development of such a model.
Lastly, the IRSN has completed its R&D programme on the risk of a high-pressure core meltdown
induced break in the reactor coolant system or in the steam generator tubes. The results of this work
are providing input for Level 2 PSA studies. The assessment of uncertainties carried out as part of this
work shows that it is still difficult to reliably predict the location of an induced break. Although the
many improvements made to the ICARE/CATHARE system code with the introduction of a 2D
axisymmetric model of the pressure vessel should bring significant progress in this area, considerable
uncertainty will remain concerning the gas mixtures in the steam generator inlet plenum. No
improvement is possible in these areas without highly complex CFD studies. Note that some of the
experiments carried out as part of the OECD ROSA project, in which EDF, AREVA, the CEA and the IRSN
are taking part, will be used to validate computer codes.
Phenomena liable to induce early containment failure
Experiments investigating the risk of direct containment heating (DCH) have shown that the occurrence
of DCH at high reactor coolant pressure would have significant consequences in reactors where the
reactor pit and the containment are directly connected.
At present, DCH is simulated in computer codes using simple models which do not sufficiently reflect
the complexity and diversity of the phenomena involved. The use of multiphase simulation codes seems
more promising. However a satisfactory prediction of the consequences of DCH at reactor scale would
require filling a certain number of gaps in current knowledge. It is particularly difficult to extrapolate
results from oxidation tests to the reactor case, especially for zirconium. Similarly, it would seem ill-
advised at the moment to draw conclusions as to the contribution of hydrogen combustion to DCH-
induced loads.
For these reasons, the IRSN considers that the R&D effort should be continued in the short or medium
term. In particular, tests dedicated to the study of hydrogen behaviour during the DCH phase are
planned. At the same time, mechanistic codes (MC3D and AFDM) are used not only in an attempt to
make up for the lack of measurements and to extrapolate results to the case of the reactor, but also to
contribute to the development of simplified models that could be implemented in scenario codes.
Dedicated research work has confirmed the decision to install devices to mitigate the hydrogen risk in
all nuclear power reactor units in France. According to some studies, however, a risk of flame
acceleration can persist.
The R&D work already carried out regarding the hydrogen risk has significantly improved our
understanding of the phenomena governing the distribution of gas mixtures and the related risks of
combustion. In particular, criteria based on experimental data are used to identify situations liable to
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induce pressure loads that can damage the containment. Although computing tools are now nearing
maturity, their predictive performance needs to be enhanced by improving models and, in the case of
multidimensional codes, by overcoming the computational limits that currently prevent us from using
sufficiently refined meshes and obtaining mesh-independent results. Further R&D work should help to
refine the analyses carried out for existing Nuclear Power Plants and assess the measures proposed for
future reactors. Recent comparative exercises on thermal-hydraulics in the containment have shown
that gas stratification phenomena and depressurisation when the spraying system is activated are not
accurately represented by existing codes. Transient flow conditions in stratified situations would be
analysed in the frame of the on-going programmes: TOSQAN, PANDA and MISTRA. Models used in
combustion studies still need to be improved and validated to simulate flame propagation in
heterogeneous media. The impact of water drops on flame acceleration should also be studied. These
topics will be treated in the ENACCEF programme. The impact of recombiner location on the
recombination rate and the risk of recombiner-initiated ignition are investigated within SARNET. The
first topic is investigated by a numerical work while the second is based on the REKO tests.
Lastly, as regards steam explosion, significant effort has been devoted in recent years to developing
sophisticated simulation tools. These software programmes are now operational but their current level
of accuracy is not considered sufficient. These deficiencies are mainly related to a poor understanding
of local phenomena. Phase 1 of the SERENA international programme, which has just been completed,
highlighted the divergences of the various specialists as to the adopted modelling assumptions,
especially for the premixing phase. These differences have led to considerable disparity in reactor
calculation results.
As for the safety impact of in-vessel steam explosion, the international community seems to have
reached a consensus that this phenomenon should not lead to reactor pressure vessel failure. There is,
however, growing international interest in a more precise evaluation of the ex-vessel situation, as
defined in the SERENA-2 proposal.
In conclusion, given the volume of knowledge already acquired, the research and development
programmes currently being prepared should lead to a significant step forward in the
understanding and prediction of phenomena related to the risk of early containment failure.
Phenomena liable to induce late containment failure
The results of recent experiments, together with reactor calculations performed using the MEDICIS and
TOLBIAC-ICB codes, have shown that great uncertainty remains concerning basemat erosion kinetics
during corium-concrete interaction. In view of the impact of such uncertainties on radioactive release,
major R&D programmes on this subject have already been launched. The ARTEMIS 2D and VULCANO ICB
experimental programmes, conducted under a tripartite agreement between the CEA, the IRSN and
EDF, and the continuation of the OECD-MCCI programme under the auspices of the OECD/CSNI, will
make it possible to understand more fully the physical phenomena governing the structure of the
interfaces and to supplement knowledge on the 2D heat flux distribution in a homogeneous pool. The
VULCANO-ICB and ARTEMIS oxide-metal tests in a stratified pool configuration should also provide
results for heat transfers between oxide and metal layers and for the evolution of the pool
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configurations. Furthermore, an additional study programme is currently being defined to reduce
uncertainty concerning the thermochemical properties of corium/concrete mixtures.
More recently, an IRSN, CEA and EDF working group agreed on the interest of conducting additional
experimental programmes if the results of the above tests proved insufficient. So far, two test
programmes with simulant materials have been considered: The ABI programme will focus on heat
transfers between the oxide and metal layers and the CLARA programme will study 2D heat transfer
between a heated pool and a porous wall in presence of gas sparging.
In conclusion, given the considerable impact of basemat erosion kinetics on radioactive release
and in view of remaining uncertainties in this area, this theme is considered a priority in terms of
research and development.
In- and ex-vessel corium retention and cooling
With regard to in-vessel corium retention by in-vessel reflooding, existing software provides a
relatively good evaluation of situations where the core suffers limited damage but no loss of geometry.
Existing experimental data, the QUENCH tests in particular, should further improve the qualification of
this software. Considerable uncertainty remains, however, as to the effectiveness of cooling a
degraded core by in-vessel reflooding for debris bed or liquid corium pool situations. As for the "debris
bed" configuration, the ISTC QUENCH programme should provide information on debris size. In
addition, the IRSN has begun preparations for defining an analytical test programme aimed at
confirming the multidimensional effects of reflooding a debris bed (increasing its "coolability").
On the subject of in-vessel retention by external reflooding of the reactor pit, considerable R&D work
has been conducted to assess the effectiveness of ex-vessel cooling. Studies carried out on this subject
– by the CEA, EDF or the IRSN – showed that it is difficult to demonstrate the systematic preservation of
vessel integrity using this means. On the other hand, in-depth studies could be made on the
effectiveness of external cooling in particular situations (e.g. low residual power, limited core damage,
etc.). Notwithstanding this, further work in this area will consist of engineering studies or analyses
based on existing knowledge and no new R&D programmes are planned.
Tests carried out on corium cooling by water injection above the corium during its interaction with
concrete have been unable to quantify the effectiveness of this method, although it is recognized that
it leads a reduction in the basemat ablation rate. New tests will be performed as part of the MCCI-2
programme. Given the significance of this problem in terms of severe accident management, however,
and depending on the results obtained both from these tests and other MCCI tests, further research
work could well prove worthwhile.
The R&D programme devoted to corium spreading, in particular within the EPR project context, has
settled the question of spreading under dry conditions. Models have been developed and validated and
it has been demonstrated that the corium-concrete mixture spreads well if the flow rate is high
enough. The inclusion of a thin layer of water (to simulate condensation water) or a concrete substrate
(releasing steam and CO2) has little impact on spreading. Further studies are required, however, to
obtain validated models of flowing mechanisms with a significant thickness of overlying water.
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In recent years, a considerable amount of R&D work has been devoted to the EPR's ex-vessel core
catcher. This work, carried out by the designer as well as research and safety organisations within the
framework of national and international programmes, provides a good basis for the validation and
assessment of technical solutions adopted for design.
In conclusion, our current understanding of in- and ex-vessel corium retention and cooling does
not allow us to determine the effectiveness of cooling by reflooding a damaged core, or ex-vessel
cooling, or cooling the corium by water injection above the corium during MCCI. Additional R&D
work is required to settle this question.
Fission product release and transport
Most studies of fission product release from the fuel in the vessel have considered medium-burnup UO2
fuels. The relatively broad spectrum of experimental data from analytical tests, combined with
PHEBUS-FP integral tests, has been used to develop and validate mechanistic and simplified models
that correctly simulate the dependence of release mechanisms on various parameters, including
temperature, redox conditions, interactions with structural materials, burnup, the type of fuel (UO2 or
MOX) and its state (solid or liquefied).
Some areas of uncertainty remain here, but R&D programmes have already been launched to clarify
them. Micro-analyses of fuels from the VERCORS tests are planned as part of the international Source
Term programme to check the assumptions proposed during the interpretation of these tests and used
as a basis for building models. The programme also includes tests to be performed in the CEA's VERDON
facility to extend the experimental database to incorporate MOX and high-burnup UO2 fuel and air-
ingress scenarios.
Fission product release in an ex-vessel situation might occur in the event of sump boiling or during the
corium-concrete interaction. Studies concerning these phenomena pointed out that the release rates in
ex-vessel situations are lower than those found for in-vessel situations. For this reason, there would
appear to be no need for further R&D programmes concerning these two aspects.
The physical phenomena governing the transport of aerosols in the reactor cooling system and their
behaviour in the containment are generally well known and models are available to describe them. The
most significant deposition phenomena, such as thermophoresis, diffusiophoresis and gravitational
settling, have been the focus of dedicated experiments in the past for model validation purposes.
On the subject of aerosol transport in the reactor cooling primary and secondary systems, significant
uncertainties remain concerning the phenomena involved in aerosol retention on the secondary side of
the steam generator. The international programme, ARTIST, is currently investigating this problem.
Work is also underway as part of SARNET to improve the models used to describe the phenomena
governing the mechanical resuspension of deposits in response to high flow rates. This work makes use
of existing data and will also benefit from new data acquired from the ARTIST programme.
The most recent R&D work on aerosol behaviour in the containment has concentrated on how the spray
system can push aerosols down. The recently started TOSQAN AEROSOLS programme should teach us
more about aerosol collection mechanisms using a water spray system in accident situations.
Lastly, a number of points remain to be clarified regarding fission product chemistry.
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The PHEBUS-FP integral tests have challenged a number of paradigms concerning fission product
chemistry in the reactor cooling system, caesium and iodine in particular. New models have been
developed to take into account results obtained for caesium. Iodine, however, is a more complex
matter. Chemical speciation calculations have been carried out but have so far proven incapable of
reproducing the observed effects correctly. It would appear that the differences observed are due to
currently ignored chemical kinetic phenomena. The CHIP experimental programme, part of the
international Source Term programme, should identify the chemical reactions responsible and assess
the kinetic data required to model them. Validated physical models describing the behaviour of iodine
in the reactor cooling circuit are expected by 2010. Recent experiments carried out in Hungary and
Finland have shown that ruthenium should also be reconsidered. The results of these tests should be
analysed to obtain validated models by 2008.
In the containment, the two fission products with chemical properties having a potentially significant
impact on radioactive release are iodine and ruthenium, as they can both exist in the gaseous state
under the conditions encountered in the containment.
The importance of iodine has long been a recognised fact and many studies, both experimental and
theoretical, have been carried out to develop and qualify models on the subject. In particular, the
impact of spray on gaseous iodine has been quantified and validated models are now available.
Nonetheless, some areas of uncertainty with a significant impact on the levels of radioactive release
remain, particularly concerning the formation of organic iodides in the gaseous phase. EPICUR, an
experimental programme that is part of the international Source Term programme, is expected to
provide new data in this area as well as on certain aspects relating to liquid- and gas-phase radiolysis.
This data, together with that of the recently completed PARIS programme, should lead to improved,
validated models by 2010. In addition, the RECI tests have recently brought to light interactions
between iodine aerosols and recombiners that can result in the production of gaseous iodine. The IRSN
plans to continue this programme with a view to measuring the impact of these interactions on the
concentration of gaseous iodine in the containment.
The "ruthenium in containment" programme currently in progress and carried out as part of the Source
Term programme, has shown that ruthenium was liable to remain in the containment in the gaseous
state. The next step is to quantify the kinetics of the various phenomena involved in order to assess the
concentration of gaseous ruthenium in the containment during an accident.
In conclusion, the experimental programmes scheduled to last until 2010 cover those aspects of
fission product release and transport where further knowledge is required. It is likely, however,
that some of these programmes will stretch beyond that deadline.
Severe accident codes
All the research carried out on the physical phenomena related to severe accidents has led to the
development of integral codes designed to simulate this type of accident in a small computing time,
from the initiating event to the possible release of radionuclides outside the containment and taking
into account the main safety systems.
This document has described three of these codes: ASTEC, MAAP and MELCOR. They are used for
reactor safety studies, particularly for assessing the source term and for Level 2 PSAs. These software
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packages are constantly upgraded to keep up with the state of the art. They are validated both against
analytical tests and global experiments. Comparison exercises or benchmarks are also arranged, in
particular as part of SARNET, to compare results not only between these three codes, but also with the
results of mechanistic codes. This type of exercise serves to identify the models responsible for any
discrepancies observed from one code to another, thereby helping to measure the degrees of
uncertainty remaining in the assessment of certain physical phenomena.
Note that the ASTEC code plays a leading role in SARNET, as it gradually integrates in the form of
models all the knowledge generated by the network, and because the partners carry out a considerable
amount of work on validation and reactor applications. One of the goals of SARNET is to see ASTEC
become the European reference code.
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GLOSSARY
AEAT: Atomic Energy Authority Technology (GB)
AECL: Atomic Energy of Canada Limited (Canada)
Ag-In-Cd (silver, indium and cadmium alloy)
AICC pressure: Adiabatic and Isochoric Complete Combustion pressure
ANL: Argonne National Laboratories (USA)
ASTEC: Accident Source Term Evaluation Code
ATWS: Anticipated transients without scram
AVN: Association Vincotte Nucléaire (Belgium)
BARC: Bhabha Atomic Research Centre (India)
BNL: Brookhaven National Laboratory
CEA: French Atomic Energy Commission
CFD: Computational Fluid Dynamic
CHF: Critical Heat Flux
CHRS: Containment Heat Removal System
CSNI: Committee on the Safety of Nuclear Installations
CVCS: Chemical and Volume Control System
DCH: Direct Containment Heating
DDT: Deflagration-Detonation Transition
EDF: Electricité de France (France)
EFWS: Emergency Feedwater System
EPR: European Pressurised-water Reactor
EPRI: Electric Power Research Institute
FP: Fission Products
FWLB: Feedwater Line Break
FZK: Forschungszentrum Karlsruhe GmbH (Germany)
FZR: Forschungszentrum Rossendorf e.V (Germany)
GAEC: Guide to Emergency Response Team Action
GIAG: Severe Accident Action Guide
GRS: Gesellschaft für Anlagen und Reaktorsicherheit mbH (Germany)
IBRAE: Nuclear Safety Institute of the Russian Academy of Science
IET: Integral Effect Test
IKE: University of Stuttgart (Germany)
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INEL: Idaho National Engineering Laboratories (USA)
INR: Institute of Nuclear Energy (Romania)
INSA: National Institute of Applied Science (France)
IRSN: Institute for Radiological Protection and Nuclear Safety (France)
ISP: International Standard Problem
ISTC: International Science and Technology Centre
IVR: In-Vessel Retention
JAERI: Japan Atomic Energy Research Institute (Japan)
JRC: Joint Research Centre (EEC)
KAERI: Korea Atomic Energy Research Institute (South Korea)
KTH: Royal Institute of Technology in Stockholm
LDV: Laser Doppler Velocimetry
LOCA: Loss of Coolant Accidents
LUCH (FSUE SRI SIA): Federal State Unitary Enterprise Scientific Research Institute Scientific Industrial
Association (Russia)
MAAP: Modular Accident Analysis Program
MCCI: Molten Corium-Concrete Interaction
MELCOR: Methods for Estimation of Leakages and Consequences of Releases
MOX: Mixed uranium- and plutonium-oxide fuel
MSB: Main Steam Bypass
MSRT: Main Steam Relief Train (atmospheric steam dump)
NIIAR: Research Institute of Atomic Reactors (Russia)
NITI: Research Institute for Nuclear Technology (Russia)
NRC: Nuclear Regulatory Commission (United States)
NUPEC: Nuclear Power Engineering Corporation (Japan)
OECD: Organisation for Economic Cooperation and Development
ORNL: Oak Ridge Nat. Lab. (Canada)
PIV: Particle Image Velocimetry
Pr: Prandtl number
PSA: Probabilistic Safety Assessment
PSI: Paul Scherrer Institute (Switzerland)
PWR: Pressurised Water Reactor
Ra: Rayleigh number
Re: Reynolds number
RCS: Reactor Cooling System
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RHR: Residual Heat Removal system
RRC-KI: Russian Research Centre – Kurchatov Institute (Russia)
SG: Steam Generator
SGTR: Steam Generator Tube Rupture
SLB: Steam Line Break
SARNET: Severe Accident Research NETwork of excellence
SNL: Sandia National Laboratories (USA)
TGTA: Secondary system transients
TMI 2: Three Mile Island 2
TRCP: Reactor coolant system transients
UCLA: University of California-Los Angeles
UJV: Ustav Jaderneho Vyzkumu Rez a. s. (Czech Republic)
VTT: Technical Research Centre of Finland